Classification of base geometries in F-theory
Name
1059578555-MIT.pdf
Description
Full printable version
Size
14.55 MB
Format
Adobe PDF
Checksum (MD5)
32307e024c8a38966ed2f70fa752c0ea
Author(s)
Wang, Yinan, Ph. D. Massachusetts Institute of Technology
Advisor(s)
Washington Taylor.
Date Issued
2018
Publisher
Massachusetts Institute of Technology
Abstract
F-theory is a powerful geometric framework to describe strongly coupled type JIB supcrstring theory. After we compactify F-theory on elliptically fibered Calabi-Yau manifolds of various dimensions, we produce a large number of minimal supergravity models in six or four spacetime dimensions. In this thesis, I will describe a current classification program of these elliptic Calabi-Yau manifolds. Specifically, I will be focusing on the part of classifying complex base manifolds of these elliptic fibrations. Besides the usual algebraic geometric description of these base manifolds, F-theory provides a physical language to characterize them as well. One of the most important physical feature of the bases is called the "non-Higgsable gauge groups", which is the minimal gauge group in the low energy supergravity model for any elliptic fibration on a specific base. I will present the general classification program of complex base surfaces and threefolds using algebraic geometry machinery and the language of non- Higgsable gauge groups. While the complex base surfaces can be completely classified in principle, the zoo of generic complex threefolds is not well understood. However, I will present an exploration of the subset of toric threefold bases. I will also describe examples of base manifolds with non-Higgsable U(1)s, which lead to supergravity models in four and six dimensions with a U(1) gauge group but no massless charged matter.
Description
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Physics, 2018.
Cataloged from PDF version of thesis.
Includes bibliographical references (pages 187-196).
Subjects
Physics.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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