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

Sebastiano Carpi; Tiziano Gaudio; Robin Hillier

doi:10.1063/1.5094581

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arXiv · 1810.10459

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

Sebastiano Carpi·Tiziano Gaudio·Robin Hillier

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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.

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Sebastiano Carpi, Tiziano Gaudio, Robin Hillier. 2018-10-24. Classification of unitary vertex subalgebras and conformal subnets for rank-one lattice chiral CFT models. https://doi.org/10.1063/1.5094581

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