Two-dimensional topological order and operator algebras
Mathematical Physics
2021-08-02 v1 Strongly Correlated Electrons
math.MP
Operator Algebras
Quantum Algebra
Abstract
We review recent interactions between mathematical theory of two-dimensional topological order and operator algebras, particularly the Jones theory of subfactors. The role of representation theory in terms of tensor categories is emphasized. Connections to 2-dimensional conformal field theory are also presented. In particular, we discuss anyon condensation, gapped domain walls and matrix product operators in terms of operator algebras.
Keywords
Cite
@article{arxiv.2102.10953,
title = {Two-dimensional topological order and operator algebras},
author = {Yasuyuki Kawahigashi},
journal= {arXiv preprint arXiv:2102.10953},
year = {2021}
}
Comments
review paper, 18 pages