Subfactors and Mathematical Physics

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.

arXiv comment22 pages, 1 figure. To appear in an issue of the Bulletin of the AMS, dedicated to the mathematical legacy of Vaughan Jones

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Cited by in corpus (6)

• Additivity, Haag duality, and non-invertible symmetries
• 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
• Operator-state correspondence in simple current extended conformal field theories: Toward a general understanding of chiral conformal field theories and topological orders
• Fusion rule in conformal field theories and topological orders: A unified view of correspondence and (fractional) supersymmetry and their relation to topological holography
• From vertex operator superalgebras to graded-local conformal nets and back
• Spectral Sequence Computation of Higher Twisted $K$-Groups of $SU(n)$