PIRSA:17080013

Symmetry-enriched topological order in tensor networks: Gauging and anyon condensation

APA

Williamson, D. (2017). Symmetry-enriched topological order in tensor networks: Gauging and anyon condensation. Perimeter Institute. https://pirsa.org/17080013

MLA

Williamson, Dominic. Symmetry-enriched topological order in tensor networks: Gauging and anyon condensation. Perimeter Institute, Aug. 01, 2017, https://pirsa.org/17080013

BibTex

          @misc{ pirsa_17080013,
            doi = {},
            url = {https://pirsa.org/17080013},
            author = {Williamson, Dominic},
            keywords = {Quantum Foundations, Quantum Information},
            language = {en},
            title = {Symmetry-enriched topological order in tensor networks: Gauging and anyon condensation},
            publisher = {Perimeter Institute},
            year = {2017},
            month = {aug},
            note = {PIRSA:17080013 see, \url{https://pirsa.org}}
          }
          

Abstract

I will describe a framework for the study of symmetry-enriched topological order using graded matrix product operator algebras. The approach is based upon an explicit construction of the extrinsic symmetry defects, which facilitates the extraction of their physical properties. This allows for a simple analysis of dual phase transitions, induced by gauging a global symmetry, and condensation of a bosonic subtheory.