Subfactors and mathematical physics

Evans, David; Kawahigashi, Yasuyuki

doi:10.1090/bull/1799

Subfactors and mathematical physics
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by David E. Evans and Yasuyuki Kawahigashi;

Bull. Amer. Math. Soc. 60 (2023), 459-482

DOI: https://doi.org/10.1090/bull/1799

Published electronically: June 1, 2023

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Abstract:

This paper surveys the long-standing connections and impact between Vaughan Jones’s theory of subfactors and various topics in mathematical physics, namely statistical mechanics, quantum field theory, quantum information, and two-dimensional conformal field theory.

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Feng Xu, Algebraic orbifold conformal field theories, Proc. Natl. Acad. Sci. USA 97 (2000), no. 26, 14069–14073. MR 1806798, DOI 10.1073/pnas.260375597
Feng Xu, Jones-Wassermann subfactors for disconnected intervals, Commun. Contemp. Math. 2 (2000), no. 3, 307–347. MR 1776984, DOI 10.1142/S0219199700000153
Feng Xu, Mirror extensions of local nets, Comm. Math. Phys. 270 (2007), no. 3, 835–847. MR 2276468, DOI 10.1007/s00220-006-0184-0