Honors Theses and Capstones
Date Completed
Spring 2015
Abstract
We describe the theoretical motivation for F-theory as a non-perturbative generalization of string theory. The four complex-dimensional compactification spaces of F-theory, called elliptically-fibered Calabi-Yau manifolds, consist of the six compact dimensions of string theory, plus a two-dimensional fiber that describes the string coupling field as a function of position on the string theory manifold. The methods of toric geometry are developed and applied to construct examples of elliptically-fibered Calabi-Yau manifolds. We analyze in detail models in which the fiber is free of singularities as a test bed for a more general analysis.
First Advisor
Per Berglund
College or School
CEPS
Department or Program
Physics
Degree Name
Bachelor of Science
Recommended Citation
Smith, Herbie L., "The Toric Approach to F-theory Model Building" (2015). Honors Theses and Capstones. 249.
https://scholars.unh.edu/honors/249