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.
open access link Journal of Mathematical Physics 60, 093505 (2019)
@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}", journal = "J. Math. Phys.", volume = "60", year = "2019", number = "9", pages = "093505", doi = "10.1063/1.5094581", eprint = "1810.10459", archivePrefix = "arXiv", primaryClass = "math.OA", SLACcitation = "%%CITATION = ARXIV:1810.10459;%%" }

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