PIRSA:13020122

A classification of symmetry enriched topological phases with exactly solvable models

Ran, Y. (2013). A classification of symmetry enriched topological phases with exactly solvable models. Perimeter Institute. https://pirsa.org/13020122

Ran, Ying. A classification of symmetry enriched topological phases with exactly solvable models. Perimeter Institute, Feb. 01, 2013, https://pirsa.org/13020122 

          @misc{ pirsa_PIRSA:13020122,
            doi = {10.48660/13020122},
            url = {https://pirsa.org/13020122},
            author = {Ran, Ying},
            keywords = {Condensed Matter},
            language = {en},
            title = {A classification of symmetry enriched topological phases with exactly solvable models},
            publisher = {Perimeter Institute},
            year = {2013},
            month = {feb},
            note = {PIRSA:13020122 see, \url{https://pirsa.org}}
          }

Ying Ran Boston College

Talk numberPIRSA:13020122
DOI10.48660/13020122
Collection
Talk Type Scientific Series
Subject

Abstract

Two types of topological phases have attracted a lot of attention in condensed matter physics: symmetry protected topological(SPT) phases and topologically ordered phases. On the one hand, SPT phases are protected by given global symmetries while there is no topological order in the bulk. On the other hand, topologically ordered phases do not require symmetry and feature topological ground state degeneracy. In this talk,  I present a classification of phases with both topological orders and global symmetries, equipped with local bosonic exactly solvable models. This classification, in some sense, organizes previous pieces of understandings on SPT phases, topological orders, symmetry fractionalizations, into a single framework. Solution of the exactly solvable models and measurable consequences will be discussed.