Möller, Sven (2016):
A Cyclic Orbifold Theory for Holomorphic Vertex Operator Algebras and Applications.
Darmstadt, Technische Universität Darmstadt,
[Ph.D. Thesis]
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Item Type: | Ph.D. Thesis | ||||
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Title: | A Cyclic Orbifold Theory for Holomorphic Vertex Operator Algebras and Applications | ||||
Language: | English | ||||
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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Place of Publication: | Darmstadt | ||||
Uncontrolled Keywords: | vertex operator algebras, orbifold theory, extension problem, generalised Kac-Moody algebras | ||||
Classification DDC: | 500 Naturwissenschaften und Mathematik > 510 Mathematik | ||||
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: | 02 Dec 2016 12:40 | ||||
Last Modified: | 24 Jun 2022 18:01 | ||||
URN: | urn:nbn:de:tuda-tuprints-58215 | ||||
Referees: | Scheithauer, Prof. Dr. Nils ; Möller, Prof. Dr. Martin ; Höhn, Prof. Dr. Gerald | ||||
Date of oral examination: | 15 September 2016 | ||||
URI: | https://tuprints.ulb.tu-darmstadt.de/id/eprint/5821 | ||||
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