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Two-dimensional topological order and operator algebras (2102.10953v1)
Published 22 Feb 2021 in math-ph, cond-mat.str-el, math.MP, math.OA, and math.QA
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.
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