Unbounded field operators in categorical extensions of conformal nets

Fuente: arXiv
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Autore principale: Gui, Bin
Natura: Preprint
Pubblicazione: 2020
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author Gui, Bin
author_facet Gui, Bin
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2001_03095
institution arXiv
publishDate 2020
record_format arxiv
spellingShingle Unbounded field operators in categorical extensions of conformal nets
Gui, Bin
Quantum Algebra
Mathematical Physics
Operator Algebras
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.
title Unbounded field operators in categorical extensions of conformal nets
topic Quantum Algebra
Mathematical Physics
Operator Algebras
url https://arxiv.org/abs/2001.03095