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http://hdl.handle.net/11375/28468
Title: | On the Coordinate Transformation of a Vertex Operator Algebra |
Other Titles: | On the Coordinate Transformation of a VOA |
Authors: | Barake, Daniel |
Advisor: | Franc, Cameron |
Department: | Mathematics |
Keywords: | Number Theory;Vertex Operator Algebra |
Publication Date: | 2023 |
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. |
URI: | http://hdl.handle.net/11375/28468 |
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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