PIRSA:26050029

Video URL

https://pirsa.org/26050029

Braided Fusion Complexes: An Algebraic Theory of Gapped Abelian Phases

Shirley, W. (2026). Braided Fusion Complexes: An Algebraic Theory of Gapped Abelian Phases. Perimeter Institute for Theoretical Physics. https://pirsa.org/26050029

Shirley, Wilbur. Braided Fusion Complexes: An Algebraic Theory of Gapped Abelian Phases. Perimeter Institute for Theoretical Physics, May. 28, 2026, https://pirsa.org/26050029 

          @misc{ scivideos_PIRSA:26050029,
            doi = {10.48660/26050029},
            url = {https://pirsa.org/26050029},
            author = {Shirley, Wilbur},
            keywords = {Quantum Information, Quantum Matter},
            language = {en},
            title = {Braided Fusion Complexes: An Algebraic Theory of Gapped Abelian Phases},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2026},
            month = {may},
            note = {PIRSA:26050029 see, \url{https://scivideos.org/pirsa/26050029}}
          }

Wilbur Shirley

Talk numberPIRSA:26050029
DOI10.48660/26050029
Source RepositoryPIRSA
Collection
Talk Type Conference
Subject

Abstract

I will introduce the notion of a braided fusion complex --- a mathematical structure designed to encapsulate the universal fusion and braiding data of abelian excitations of gapped quantum phases. This structure provides a framework for characterizing and classifying fracton phases of matter.