Toric Methods in F-theory Model Building
High Energy Physics - Theory
2011-09-08 v2
Abstract
In this review article we discuss recent constructions of global F-theory GUT models and explain how to make use of toric geometry to do calculations within this framework. After introducing the basic properties of global F-theory GUTs we give a self-contained review of toric geometry and introduce all the tools that are necessary to construct and analyze global F-theory models. We will explain how to systematically obtain a large class of compact Calabi-Yau fourfolds which can support F-theory GUTs by using the software package PALP.
Cite
@article{arxiv.1103.3358,
title = {Toric Methods in F-theory Model Building},
author = {Johanna Knapp and Maximilian Kreuzer},
journal= {arXiv preprint arXiv:1103.3358},
year = {2011}
}
Comments
19 pages. Prepared for the special issue "Computational Algebraic Geometry in String and Gauge Theory" of Advances in High Energy Physics, v2: references added, typos corrected