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    Rights statement: Copyright 2019 American Institute of Physics. The following article appeared in Journal of Mathematical Physics, 60, 2019 and may be found at http://dx.doi.org/10.1063/1.5094581 This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.

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

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Classification of unitary vertex subalgebras and conformal subnets for rank-one lattice chiral CFT models. / Carpi, Sebastiano; Gaudio, Tiziano; Hillier, Robin.
In: Journal of Mathematical Physics, Vol. 60, No. 9, 093505, 20.09.2019.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

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Carpi S, Gaudio T, Hillier R. Classification of unitary vertex subalgebras and conformal subnets for rank-one lattice chiral CFT models. Journal of Mathematical Physics. 2019 Sept 20;60(9):093505. doi: 10.1063/1.5094581

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@article{cf9f0c6e89144477a327f2ce269ed614,
title = "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.",
author = "Sebastiano Carpi and Tiziano Gaudio and Robin Hillier",
note = "Copyright 2019 American Institute of Physics. The following article appeared in Journal of Mathematical Physics, 60, 2019 and may be found at http://dx.doi.org/10.1063/1.5094581 This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.",
year = "2019",
month = sep,
day = "20",
doi = "10.1063/1.5094581",
language = "English",
volume = "60",
journal = "Journal of Mathematical Physics",
issn = "0022-2488",
publisher = "American Institute of Physics Publising LLC",
number = "9",

}

RIS

TY - JOUR

T1 - Classification of unitary vertex subalgebras and conformal subnets for rank-one lattice chiral CFT models

AU - Carpi, Sebastiano

AU - Gaudio, Tiziano

AU - Hillier, Robin

N1 - Copyright 2019 American Institute of Physics. The following article appeared in Journal of Mathematical Physics, 60, 2019 and may be found at http://dx.doi.org/10.1063/1.5094581 This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.

PY - 2019/9/20

Y1 - 2019/9/20

N2 - 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.

AB - 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.

U2 - 10.1063/1.5094581

DO - 10.1063/1.5094581

M3 - Journal article

VL - 60

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 9

M1 - 093505

ER -