Two-dimensional topological order and operator algebras

Yasuyuki Kawahigashi

Two-dimensional topological order and operator algebras

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arxiv 2102.10953 v1 pith:I4OMWMUY submitted 2021-02-22 math-ph cond-mat.str-elmath.MPmath.OAmath.QA

Yasuyuki Kawahigashi This is my paper · ORCID

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keywords theoryalgebrasoperatorordertermstopologicaltwo-dimensionalanyon

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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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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Gauging or extending bulk and boundary conformal field theories: Application to bulk and domain wall problem in topological matter and their descriptions by (mock) modular covariant
hep-th 2024-12 conditional novelty 5.0 of 10

New classes of boundary and coupled conformal field theories are constructed from Z_N gauging, with a proposed dictionary to topological order, nonchiral anyons, and domain walls.

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