Unitarity of the modular tensor categories associated to unitary vertex operator algebras, I

Bin Gui

Unitarity of the modular tensor categories associated to unitary vertex operator algebras, I

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arxiv 1711.02840 v4 pith:5JSIQJUC submitted 2017-11-08 math.QA math-phmath.MPmath.OA

Unitarity of the modular tensor categories associated to unitary vertex operator algebras, I

Bin Gui This is my paper

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This is the first part in a two-part series of papers constructing a unitary structure for the modular tensor category (MTC) associated to a unitary rational vertex operator algebra (VOA).

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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...