The large N limit of orbifold vertex operator algebras

We investigate the large N limit of permutation orbifolds of vertex operator algebras. To this end, we introduce the notion of nested oligomorphic permutation orbifolds and discuss under which conditions their fixed point VOAs converge. We show that if this limit exists, then it has the structure of...

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Autores principales: Gemünden, Thomas, Keller, Christoph A.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Netherlands 2021
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8550497/
https://www.ncbi.nlm.nih.gov/pubmed/34720367
http://dx.doi.org/10.1007/s11005-021-01440-y
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author Gemünden, Thomas
Keller, Christoph A.
author_facet Gemünden, Thomas
Keller, Christoph A.
author_sort Gemünden, Thomas
collection PubMed
description We investigate the large N limit of permutation orbifolds of vertex operator algebras. To this end, we introduce the notion of nested oligomorphic permutation orbifolds and discuss under which conditions their fixed point VOAs converge. We show that if this limit exists, then it has the structure of a vertex algebra. Finally, we give an example based on [Formula: see text] for which the fixed point VOA limit is also the limit of the full permutation orbifold VOA.
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spelling pubmed-85504972021-10-29 The large N limit of orbifold vertex operator algebras Gemünden, Thomas Keller, Christoph A. Lett Math Phys Article We investigate the large N limit of permutation orbifolds of vertex operator algebras. To this end, we introduce the notion of nested oligomorphic permutation orbifolds and discuss under which conditions their fixed point VOAs converge. We show that if this limit exists, then it has the structure of a vertex algebra. Finally, we give an example based on [Formula: see text] for which the fixed point VOA limit is also the limit of the full permutation orbifold VOA. Springer Netherlands 2021-07-31 2021 /pmc/articles/PMC8550497/ /pubmed/34720367 http://dx.doi.org/10.1007/s11005-021-01440-y Text en © The Author(s) 2021 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Gemünden, Thomas
Keller, Christoph A.
The large N limit of orbifold vertex operator algebras
title The large N limit of orbifold vertex operator algebras
title_full The large N limit of orbifold vertex operator algebras
title_fullStr The large N limit of orbifold vertex operator algebras
title_full_unstemmed The large N limit of orbifold vertex operator algebras
title_short The large N limit of orbifold vertex operator algebras
title_sort large n limit of orbifold vertex operator algebras
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8550497/
https://www.ncbi.nlm.nih.gov/pubmed/34720367
http://dx.doi.org/10.1007/s11005-021-01440-y
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