Honors Theses and Capstones
Date of Award
Spring 2015
Project Type
Senior Honors Thesis
College or School
CEPS
Department
Physics
Program or Major
Physics
Degree Name
Bachelor of Science
First Advisor
Per Berglund
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.
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