Möller, Sven (2021)
A Cyclic Orbifold Theory for Holomorphic Vertex Operator Algebras and Applications.
doi: 10.26083/tuprints-00017356
Book, Primary publication, Publisher's Version
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| Item Type: | Book | ||||
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| Type of entry: | Primary publication | ||||
| Title: | A Cyclic Orbifold Theory for Holomorphic Vertex Operator Algebras and Applications | ||||
| Language: | English | ||||
| Referees: | Scheithauer, Prof. Dr. Nils ; Möller, Prof. Dr. Martin ; Höhn, Prof. Dr. Gerald | ||||
| Date: | 9 February 2021 | ||||
| Place of Publication: | Darmstadt | ||||
| Date of oral examination: | 15 September 2016 | ||||
| Edition: | minor revisions, as of Dec. 2020 | ||||
| DOI: | 10.26083/tuprints-00017356 | ||||
| Corresponding Links: | |||||
| Abstract: | In this thesis we develop an orbifold theory for a finite, cyclic group G acting on a suitably regular, holomorphic vertex operator algebra V. To this end we describe the fusion algebra of the fixed-point vertex operator subalgebra V^G and show that V^G has group-like fusion. Then we solve the extension problem for vertex operator algebras with group-like fusion. We use these results to construct five new holomorphic vertex operator algebras of central charge 24 as lattice orbifolds, contributing to the classification of the V_1-structures of suitably regular, holomorphic vertex operator algebras of central charge 24. As another application we present the BRST construction of ten Borcherds-Kac-Moody algebras whose denominator identities are completely reflective automorphic products of singular weight. |
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| Uncontrolled Keywords: | vertex operator algebras, orbifold theory, extension problem, generalised Kac-Moody algebras | ||||
| Status: | Publisher's Version | ||||
| URN: | urn:nbn:de:tuda-tuprints-173568 | ||||
| Classification DDC: | 500 Science and mathematics > 510 Mathematics | ||||
| Divisions: | 04 Department of Mathematics > Algebra 04 Department of Mathematics > Algebra > Infinite dimensional Lie algebras, vertex algebras, automorphic forms |
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| Date Deposited: | 09 Feb 2021 08:49 | ||||
| Last Modified: | 19 Sep 2023 18:02 | ||||
| URI: | https://tuprints.ulb.tu-darmstadt.de/id/eprint/17356 | ||||
| PPN: | 473914271 | ||||
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A Cyclic Orbifold Theory for Holomorphic Vertex Operator Algebras and Applications. (deposited 02 Dec 2016 12:40)
- A Cyclic Orbifold Theory for Holomorphic Vertex Operator Algebras and Applications. (deposited 09 Feb 2021 08:49) [Currently Displayed]
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