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

Carpi, Sebastiano and Gaudio, Tiziano and Hillier, Robin (2019) Classification of unitary vertex subalgebras and conformal subnets for rank-one lattice chiral CFT models. Journal of Mathematical Physics, 60 (9). ISSN 0022-2488

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Abstract

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.