Construction and Classification of Holomorphic Vertex Operator Algebras

[1507.08142] Construction and Classification of Holomorphic Vertex Operator Algebras Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search Mathematics > Representation Theory arXiv:1507.08142 (math) [Submitted on 29 Jul 2015 ( v1 ), last revised 28 Nov 2017 (this version, v3)] Title: Construction and Classification of Holomorphic Vertex Operator Algebras Authors: Jethro van Ekeren , Sven Möller , Nils R. Scheithauer View a PDF of the paper titled Construction and Classification of Holomorphic Vertex Operator Algebras, by Jethro van Ekeren and 2 other authors View PDF HTML (experimental) Abstract: We develop an orbifold theory for finite, cyclic groups acting on holomorphic vertex operator algebras. Then we show that Schellekens' classification of $V_1$-structures of meromorphic conformal field theories of central charge 24 is a theorem on vertex operator algebras. Finally we use these results to construct some new holomorphic vertex operator algebras of central charge 24 as lattice orbifolds. Comments: 37 pages, LaTeX; minor changes: numbering changed in Section 5, added results in Section 7, expanded Section 8; to appear in J. Reine Angew. Math. (Crelles Journal) Subjects: Representation Theory (math.RT) ; Quantum Algebra (math.QA) MSC classes: 17B69 Cite as: arXiv:1507.08142 [math.RT] (or arXiv:1507.08142v3 [math.RT] for this version) https://doi.org/10.48550/arXiv.1507.08142 Focus to learn more arXiv-issued DOI via DataCite Journal reference: J. Reine Angew. Math. (Crelle's Journal), 759:61-99, 2020 Related DOI : https://doi.org/10.1515/crelle-2017-0046 Focus to learn more DOI(s) linking to related resources Submission history From: Sven Möller [ view email ] [v1] Wed, 29 Jul 2015 13:43:03 UTC (25 KB) [v2] Tue, 3 May 2016 12:21:32 UTC (24 KB) [v3] Tue, 28 Nov 2017 22:35:42 UTC (30 KB) Full-text links: Access Paper: View a PDF of the paper titled Construction and Classification of Holomorphic Vertex Operator Algebras, by Jethro van Ekeren and 2 other authors View PDF HTML (experimental) TeX Source view license Current browse context: math.RT < prev | next > new | recent | 2015-07 Change to browse by: math math.QA References & Citations NASA ADS Google Scholar Semantic Scholar 3 blog links ( what is this? ) export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer ( What is the Explorer? ) Connected Papers Toggle Connected Papers ( What is Connected Papers? ) Litmaps Toggle Litmaps ( What is Litmaps? ) scite.ai Toggle scite Smart Citations ( What are Smart Citations? ) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv ( What is alphaXiv? ) Links to Code Toggle CatalyzeX Code Finder for Papers ( What is CatalyzeX? ) DagsHub Toggle DagsHub ( What is DagsHub? ) GotitPub Toggle Gotit.pub ( What is GotitPub? ) Huggingface Toggle Hugging Face ( What is Huggingface? ) ScienceCast Toggle ScienceCast ( What is ScienceCast? ) Demos Demos Replicate Toggle Replicate ( What is Replicate? ) Spaces Toggle Hugging Face Spaces ( What is Spaces? ) Spaces Toggle TXYZ.AI ( What is TXYZ.AI? ) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower ( What are Influence Flowers? ) Core recommender toggle CORE Recommender ( What is CORE? ) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs . Which authors of this paper are endorsers? | Disable MathJax ( What is MathJax? ) We gratefully acknowledge support from our major funders , member institutions , , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab) Major funding support from

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