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Every conformal net has an associated unitary VOA (2507.20735v1)
Published 28 Jul 2025 in math.OA, math-ph, math.MP, and math.QA
Abstract: Unitary vertex operator algebras (VOAs) and conformal nets are the two most prominent mathematical axiomatizations of two-dimensional unitary chiral conformal field theories. They are conjectured to be equivalent, but a rigorous comparison has proven challenging. We resolve one direction of the conjecture by showing that every conformal net has an associated unitary VOA.
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