Ν=4 Compactifications of String Theory and Supergravity
Abstract/Contents
- Abstract
- Compactifying Type II string theory on a threefold of SU(2) holonomy yields a string theory with N=4 supersymmetry, commonly known as a CHL model. We will present the classification of threefolds of SU(2) holonomy, and a computation of their Betti numbers using a recursive formula for certain orbifold Euler characteristics. We will also directly dimensionally reduce ten-dimensional Type II supergravity on all CHL manifolds. The attractor equations have a particularly nice form in CHL models, and this allows us to compute attractor geometries explicitly. It will turn out that certain natural counts of attractor geometries in CHL models are mock modular forms constructed by Funke. We will also exactly compute half-BPS black hole entropy by precisely counting microstates in CHL models.
Description
| Type of resource | text |
|---|---|
| Date created | May 2018 |
Creators/Contributors
| Author | Sussman, Ethan | |
|---|---|---|
| Primary advisor | Kachru. Shamit | |
| Advisor | Silverstein, Eva | |
| Degree granting institution | Stanford University, Department of Physics |
Subjects
| Subject | CHL models |
|---|---|
| Subject | half-BPS |
| Subject | attractor mechanism |
| Subject | Rademacher sums |
| Subject | entropy |
| Genre | Thesis |
Bibliographic information
| Related Publication | Sussman, Ethan. "Rademacher Series for η-Quotients." arXiv preprint arXiv:1710.03415 (2017). Available at: https://arxiv.org/abs/1710.03415 |
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| Related item | |
| Location | https://purl.stanford.edu/jh980rk9612 |
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- Use and reproduction
- User agrees that, where applicable, content will not be used to identify or to otherwise infringe the privacy or confidentiality rights of individuals. Content distributed via the Stanford Digital Repository may be subject to additional license and use restrictions applied by the depositor.
- License
- This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).
Preferred citation
- Preferred Citation
- Sussman, Ethan. (2018). Ν=4 Compactifications of String Theory and Supergravity. Stanford Digital Repository. Available at: https://purl.stanford.edu/jh980rk9612
Collection
Undergraduate Theses, Department of Physics
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- Contact
- ethansussman@gmail.com
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