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

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;%%"
}

Keywords:

*none*