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arXiv · 2001.03095

Unbounded field operators in categorical extensions of conformal nets

Bin Gui
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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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BibTeXRIS

Bin Gui. 2020-01-09. Unbounded field operators in categorical extensions of conformal nets. https://doi.org/10.1007/s00222-026-01407-7

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