String theory, geometry and (mock) modular forms
Abstract/Contents
- Abstract
- Monstrous moonshine (Conway and Norton, c. 1980) is a relation between the "monster", the largest of the sporadic finite simple groups, and the j-function, the unique holomorphic weight zero modular function under SL(2, Z) with a simple pole at the infinite cusp. Recently, string theory has been the impetus for the discovery of a host of similar such relations, connecting many smaller finite groups to mock modular forms, the recalcitrant cousins of the j-function. Here I discuss some of these mysterious new connections, and progress we have made in understanding them by studying string theory on K3 manifolds. This thesis is based on the papers [157], [153], and [127] written with Miranda Cheng, Xi Dong, John Duncan, Shamit Kachru, Natalie Paquette, and Timm Wrase. It should not be cited without also referencing those papers.
Description
| Type of resource | text |
|---|---|
| Form | electronic; electronic resource; remote |
| Extent | 1 online resource. |
| Publication date | 2014 |
| Issuance | monographic |
| Language | English |
Creators/Contributors
| Associated with | Harrison, Sarah |
|---|---|
| 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 | Sarah Harrison. |
|---|---|
| Note | Submitted to the Department of Physics. |
| Thesis | Thesis (Ph.D.)--Stanford University, 2014. |
| Location | electronic resource |
Access conditions
- Copyright
- © 2014 by Sarah M. Harrison
- License
- This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).
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