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arXiv · 2102.10953

Two-dimensional topological order and operator algebras

Yasuyuki Kawahigashi
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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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Yasuyuki Kawahigashi. 2021-02-22. Two-dimensional topological order and operator algebras. https://doi.org/10.1142/s0217979221300036

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