paper

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

arXiv:1810.10459 · doi:10.1063/1.5094581

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.

25 pages (v2, v3: minor corrections), to appear in Journal of Mathematical Physics