Toric Methods in F-Theory Model Building

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...

Full description

Saved in:
Bibliographic Details
Main Authors: Johanna Knapp, Maximilian Kreuzer
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2011/513436
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832551873298563072
author Johanna Knapp
Maximilian Kreuzer
author_facet Johanna Knapp
Maximilian Kreuzer
author_sort Johanna Knapp
collection DOAJ
description 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.
format Article
id doaj-art-572aab8d9cd5479f916c234bf6e21b89
institution Kabale University
issn 1687-7357
1687-7365
language English
publishDate 2011-01-01
publisher Wiley
record_format Article
series Advances in High Energy Physics
spelling doaj-art-572aab8d9cd5479f916c234bf6e21b892025-02-03T06:00:17ZengWileyAdvances in High Energy Physics1687-73571687-73652011-01-01201110.1155/2011/513436513436Toric Methods in F-Theory Model BuildingJohanna Knapp0Maximilian Kreuzer1Institute for the Physics and Mathematics of the Universe (IPMU), The University of Tokyo, 5-1-5 Kashiwanoha, Kashiwa 277-8583, JapanInstitut für Theoretische Physik, TU Vienna, Wiedner Hauptstraβe 8-10, 1040 Vienna, AustriaWe 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.http://dx.doi.org/10.1155/2011/513436
spellingShingle Johanna Knapp
Maximilian Kreuzer
Toric Methods in F-Theory Model Building
Advances in High Energy Physics
title Toric Methods in F-Theory Model Building
title_full Toric Methods in F-Theory Model Building
title_fullStr Toric Methods in F-Theory Model Building
title_full_unstemmed Toric Methods in F-Theory Model Building
title_short Toric Methods in F-Theory Model Building
title_sort toric methods in f theory model building
url http://dx.doi.org/10.1155/2011/513436
work_keys_str_mv AT johannaknapp toricmethodsinftheorymodelbuilding
AT maximiliankreuzer toricmethodsinftheorymodelbuilding