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Citation: Evans, David, and Yasuyuki Kawahigashi. "Subfactors and mathematical physics." Bulletin of the American Mathematical Society (2023).
This paper gives a nice review of subfactors, with a specific focus towards the constructions which come from mathematical physics.
There is a lot of nice discussion about conformal field theory and modular tensor categories. Additionally, there is an always-welcome discussion of monsterous moonshine.