PIRSA:24100131

Condensation in topological orders and topological holography

APA

Wen, R. (2024). Condensation in topological orders and topological holography. Perimeter Institute for Theoretical Physics. https://pirsa.org/24100131

MLA

Wen, Rui. Condensation in topological orders and topological holography. Perimeter Institute for Theoretical Physics, Oct. 22, 2024, https://pirsa.org/24100131

BibTex

          @misc{ scivideos_PIRSA:24100131,
            doi = {},
            url = {https://pirsa.org/24100131},
            author = {Wen, Rui},
            keywords = {Quantum Matter},
            language = {en},
            title = {Condensation in topological orders and topological holography},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2024},
            month = {oct},
            note = {PIRSA:24100131 see, \url{https://scivideos.org/pirsa/24100131}}
          }
          

Rui Wen University of British Columbia

Talk numberPIRSA:24100131
Source RepositoryPIRSA
Collection
Talk Type Other

Abstract

Condensation of topological defects is the foundation of the modern theory of bulk-boundary correspondence, also known as topological holography. In this talk, I discuss string condensation in 3+1D topological orders, which plays a role analogous to anyon condensation in 2+1D topological orders. I will demonstrate through examples how they correspond to 2+1D symmetry enrichd phases, including both gapped and gapless phases. Then I give a detailed analysis of string condensaiton in 3+1D discrete gauge theories. I compute the outcome of the condensation, namely the category of excitations surviving the condensation. The results suggest that a complete topological holography for 2+1D phases can only be established by taking into account all possible ways of condensing strings in the bulk 3+1D topological order.