Classification of unitary vertex subalgebras and conformal subnets for rank-one lattice chiral CFT models

Sebastiano Carpi, Tiziano Gaudio, Robin Hillier
October 24, 2018
We provide a complete classification of unitary subalgebras of even rank-one lattice vertex operator algebras. As a consequence of the correspondence between vertex operator algebras and conformal nets, we also obtain a complete classification of conformal subnets of even rank-one lattice conformal nets.
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@article{Carpi:2018rhq, author = "Carpi, Sebastiano and Gaudio, Tiziano and Hillier, Robin", title = "{Classification of unitary vertex subalgebras and conformal subnets for rank-one lattice chiral CFT models}", year = "2018", eprint = "1810.10459", archivePrefix = "arXiv", primaryClass = "math.OA", SLACcitation = "%%CITATION = ARXIV:1810.10459;%%" }

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