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http://hdl.handle.net/11375/28468
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DC Field | Value | Language |
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dc.contributor.advisor | Franc, Cameron | - |
dc.contributor.author | Barake, Daniel | - |
dc.date.accessioned | 2023-05-01T13:20:35Z | - |
dc.date.available | 2023-05-01T13:20:35Z | - |
dc.date.issued | 2023 | - |
dc.identifier.uri | http://hdl.handle.net/11375/28468 | - |
dc.description.abstract | We provide first a purely VOA-theoretic guide to the theory of coordinate transformations for a VOA in direct accordance with its first appearance in a paper of Zhu. Among these results, we are able to obtain new closed-form expressions for the square-bracket Heisenberg modes. We then elaborate on the connection to p-adic modular forms which arise as characters of states in p-adic VOAs. In particular, we show that the image of the p-adic character map for the p-adic Heisenberg VOA contains infinitely-many p-adic modular forms of level one which are not quasi-modular. Finally, we introduce a new VOA structure obtained from the Artin-Hasse exponential, and serving as the p-adic analogue of the square-bracket formalism. | en_US |
dc.language.iso | en | en_US |
dc.subject | Number Theory | en_US |
dc.subject | Vertex Operator Algebra | en_US |
dc.title | On the Coordinate Transformation of a Vertex Operator Algebra | en_US |
dc.title.alternative | On the Coordinate Transformation of a VOA | en_US |
dc.type | Thesis | en_US |
dc.contributor.department | Mathematics | en_US |
dc.description.degreetype | Thesis | en_US |
dc.description.degree | Master of Science (MSc) | en_US |
Appears in Collections: | Open Access Dissertations and Theses |
Files in This Item:
File | Description | Size | Format | |
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Barake_Daniel_M_202304_Masters.pdf | 775.81 kB | Adobe PDF | View/Open |
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