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Unbounded field operators in categorical extensions of conformal nets (2001.03095v4)
Published 9 Jan 2020 in math.QA, math-ph, math.MP, and math.OA
Abstract: We prove the equivalence of VOA tensor categories and conformal net tensor categories for the following examples: all WZW models; all lattice VOAs; all unitary parafermion VOAs; type $ADE$ discrete series $W$-algebras; their tensor products; their regular cosets. A new proof of the complete rationality of conformal nets is also given.
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