PIRSA:14120034 Scientific Series

DOI10.48660/14120034

Series: Quantum Matter

(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}}
}

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.

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