Hunting for Special Solutions in Calabi-Yau Compactifications

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Abstract/Contents

Abstract
In this thesis, we discuss approaches to various problems in the field of geometric moduli stabilization in type IIB string theory. We introduce the physics and mathematics of Calabi-Yau compactifications, flux compactifications, and attractor black holes. With these tools we investigate the construction of explicit, analytical flux solutions that generate vacua with small and nonvanishing superpotential and connect these solutions to old ideas in number theory about approximations of irrational numbers. Finally, we detail the statistical theory of vacua in moduli space and cite some new and old results as they pertain to non-supersymmetric vacua and non-BPS attractor black holes.

Description

Type of resource text
Date created May 15, 2019

Creators/Contributors

Author Hulsey, George
Degree granting institution Stanford University, Department of Physics
Primary advisor Kachru, Shamit
Advisor Raghu, Sri

Subjects

Subject string theory
Subject Calabi-Yau manifolds
Subject moduli stabilization
Genre Thesis

Bibliographic information

Related Publication George Hulsey, Shamit Kachru, Sungyeon Yang, and Max Zimet. “Distributions of extremal black holes in Calabi-Yau compactifications”. arXiv e-prints arXiv:1901.10614 [hep-th], Jan 2019.
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Location https://purl.stanford.edu/rc502rs5136

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License
This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).

Preferred citation

Preferred Citation
Hulsey, George. (2019). Hunting for Special Solutions in Calabi-Yau Compactifications. Stanford Digital Repository. Available at: https://purl.stanford.edu/rc502rs5136

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Undergraduate Theses, Department of Physics

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