Video URL
https://pirsa.org/14120034Braiding statistics of loops in three spatial dimensions
APA
(2014). Braiding statistics of loops in three spatial dimensions. Perimeter Institute for Theoretical Physics. https://pirsa.org/14120034
MLA
Braiding statistics of loops in three spatial dimensions. Perimeter Institute for Theoretical Physics, Dec. 02, 2014, https://pirsa.org/14120034
BibTex
@misc{ scivideos_PIRSA:14120034,
doi = {10.48660/14120034},
url = {https://pirsa.org/14120034},
author = {},
keywords = {Quantum Matter},
language = {en},
title = {Braiding statistics of loops in three spatial dimensions},
publisher = {Perimeter Institute for Theoretical Physics},
year = {2014},
month = {dec},
note = {PIRSA:14120034 see, \url{https://scivideos.org/index.php/pirsa/14120034}}
}
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.