Attractors in Type IIB Calabi-Yau Compactifications

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Abstract/Contents

Abstract
We study the properties of extremal black hole excitations of 4d supersymmetric string vacua arising from compactifications on Calabi-Yau threefolds. The values of the vector multiplet moduli near the black hole horizon are governed by the attractor mechanism. In this thesis, we discuss the following two questions: "what is the distribution of attractor points on moduli space?" and "what are mathematical properties of Calabi-Yau manifolds at the attractor points?" We employ tools developed in [1,2] to answer the first question. Then, we prove an important theorem due to Moore [3] on the arithmetic of attractors and discuss some recent developments on this topic.

Description

Type of resource text
Date created May 20, 2019

Creators/Contributors

Author Yang, Sungyeon
Degree granting institution Stanford University, Department of Physics
Primary advisor Kachru, Shamit
Advisor Hartnoll, Sean

Subjects

Subject attractors
Subject attractor mechanism
Subject arithmetic and attractors
Genre Thesis

Bibliographic information

Related Publication G. Hulsey, S. Kachru, S. Yang, and M. Zimet, "Distributions of extremal black holes in Calabi-Yau compactifications," arXiv:1901.10614.
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Location https://purl.stanford.edu/kv454rv2057

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

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Preferred Citation
Yang, Sungyeon. (2019). Attractors in Type IIB Calabi-Yau Compactifications. Stanford Digital Repository. Available at: https://purl.stanford.edu/kv454rv2057

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Undergraduate Theses, Department of Physics

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