# 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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