PIRSA:14120034

Braiding statistics of loops in three spatial dimensions

(2014). Braiding statistics of loops in three spatial dimensions. Perimeter Institute. https://pirsa.org/14120034

Braiding statistics of loops in three spatial dimensions. Perimeter Institute, Dec. 02, 2014, https://pirsa.org/14120034 

          @misc{ pirsa_PIRSA:14120034,
            doi = {10.48660/14120034},
            url = {https://pirsa.org/14120034},
            author = {},
            keywords = {Condensed Matter},
            language = {en},
            title = {Braiding statistics of loops in three spatial dimensions},
            publisher = {Perimeter Institute},
            year = {2014},
            month = {dec},
            note = {PIRSA:14120034 see, \url{https://pirsa.org}}
          }
Talk number
PIRSA:14120034
Collection
Talk Type
Abstract

In two spatial dimensions, it is well known that particle-like excitations can come with fractional statistics, beyond the usual dichotomy of Bose versus Fermi statistics. In this talk, I move one dimension higher to three spatial dimensions, and study loop-like objects instead of point-like particles. Just like particles in 2D, loops can exhibit interesting fractional braiding statistics in 3D. I will talk about loop braiding statistics in the context of symmetry protected topological phases, which is a generalization of topological insulators.