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

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.

arXiv comment25 pages (v2, v3: minor corrections), to appear in Journal of Mathematical Physics

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Cited by in corpus (6)

• Haploid algebras in $C^{\ast }$-tensor categories and the Schellekens list
• Quantum Operations on Conformal Nets
• Energy bounds for vertex operator algebra extensions
• From vertex operator superalgebras to graded-local conformal nets and back
• Unitarity and strong graded locality of holomorphic vertex operator superalgebras with central charge at most 24
• Conformal nets from minimal W-algebras