Automorphy, geometry, and symmetries of BPS states
Abstract/Contents
- Abstract
- A host of new observations regarding BPS states in supersymmetric string compactifications point towards tantalizing new mathematical structures underlying string theory. The mathematical subjects of finite group theory, number theory (especially modular and mock modular forms), vertex operator algebras, generalized Kac-Moody algebras, enumerative geometry, and more have come to the fore in string theory of late, prompted in part by the ``Mathieu moonshine" observation in 2010 by Eguchi, Ooguri, and Tachikawa. This thesis describes progress in understanding mathematical aspects of string compactifications, with a focus on Mathieu and Umbral moonshines, automorphic forms, manifolds of special holonomy, and the algebraic and symmetric properties enjoyed by BPS subspaces of string theory. We make progress towards using string theory as an explanatory framework that ties together some of these mathematical disciplines. We also employ new mathematical ideas to constrain and describe highly symmetric string vacua.
Description
| Type of resource | text |
|---|---|
| Form | electronic; electronic resource; remote |
| Extent | 1 online resource. |
| Publication date | 2017 |
| Issuance | monographic |
| Language | English |
Creators/Contributors
| Associated with | Paquette, Natalie M |
|---|---|
| Associated with | Stanford University, Department of Physics. |
| Primary advisor | Kachru, Shamit, 1970- |
| Thesis advisor | Kachru, Shamit, 1970- |
| Thesis advisor | Hartnoll, Sean |
| Thesis advisor | Silverstein, Eva, 1970- |
| Advisor | Hartnoll, Sean |
| Advisor | Silverstein, Eva, 1970- |
Subjects
| Genre | Theses |
|---|
Bibliographic information
| Statement of responsibility | Natalie M. Paquette. |
|---|---|
| Note | Submitted to the Department of Physics. |
| Thesis | Thesis (Ph.D.)--Stanford University, 2017. |
| Location | electronic resource |
Access conditions
- Copyright
- © 2017 by Natalie Marie Paquette
- License
- This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).
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