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

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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… Click to show full 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.

Keywords: one lattice; classification unitary; rank one; vertex; conformal subnets

Journal Title: Journal of Mathematical Physics
Year Published: 2019

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