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Unitary vertex operator algebras

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arxiv 1308.2361 v1 pith:KMCRM5GU submitted 2013-08-11 math.QA

Unitary vertex operator algebras

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keywords algebrasoperatorunitaryvertexcentralchargeclassificationdiscussed
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Unitary vertex operator algebras are introduced and studied. It is proved that most well-known rational vertex operator algebras are unitary. The classification of unitary vertex operator algebras with central charge c less than or equal to 1 is also discussed.

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    Framework for hypergroup symmetries in relative QFTs establishes one-to-one correspondence between finite symmetries and finite-index conformal embeddings in rational chiral algebras, with implications for gluing left...