Chiral algebras in physics and mathematics
Abstract/Contents
- Abstract
- Chiral algebras and vertex algebras are ubiquitous structures in physics and mathematics. They form the symmetry algebras of two-dimensional conformal field theories, they describe the universal long-distance physics of statistical systems near second order phase transitions, they arise on the world-sheets of string theories, they encode information about protected sectors in higher-dimensional quantum field theories, and they constitute an important mathematical bridge between various subjects in pure mathematics, like number theory and finite group theory. This thesis collects a few vignettes from my research on chiral algebras: it explores classification, exceptional objects, and some hints from mathematics that there are beautiful new structures waiting to be discovered.
Description
| Type of resource | text |
|---|---|
| Form | electronic resource; remote; computer; online resource |
| Extent | 1 online resource. |
| Place | California |
| Place | [Stanford, California] |
| Publisher | [Stanford University] |
| Copyright date | 2022; ©2022 |
| Publication date | 2022; 2022 |
| Issuance | monographic |
| Language | English |
Creators/Contributors
| Author | Rayhaun, Brandon |
|---|---|
| Degree supervisor | Kachru, Shamit, 1970- |
| Thesis advisor | Kachru, Shamit, 1970- |
| Thesis advisor | Hartnoll, Sean |
| Thesis advisor | Shenker, Stephen Hart, 1953- |
| Degree committee member | Hartnoll, Sean |
| Degree committee member | Shenker, Stephen Hart, 1953- |
| Associated with | Stanford University, Department of Physics |
Subjects
| Genre | Theses |
|---|---|
| Genre | Text |
Bibliographic information
| Statement of responsibility | Brandon C. Rayhaun. |
|---|---|
| Note | Submitted to the Department of Physics. |
| Thesis | Thesis Ph.D. Stanford University 2022. |
| Location | https://purl.stanford.edu/gr000hw8727 |
Access conditions
- Copyright
- © 2022 by Brandon Rayhaun
- License
- This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).
Also listed in
Loading usage metrics...