Toric Methods in F-theory Model Building

Details Toric Methods in F-theory Model Building Toric Methods in F-theory Model Building

2011-03-17

arxiv.org/abs/1103.3358v2

Adv.High Energy Phys.2011:513436

Physics

High Energy Physics

High Energy Physics - Theory

19 pages. Prepared for the special issue "Computational Algebraic Geometry in String and Gauge Theory" of Advances in High Ene

Scientific paper

10.1155/2011/513436

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.

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