FTheoryTools: Advancing Computational Capabilities for F-Theory Research

Fuente: arXiv
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Main Authors: Bies, Martin, Miķelsons, Miķelis E., Turner, Andrew P.
Format: Preprint
Published: 2025
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author Bies, Martin
Miķelsons, Miķelis E.
Turner, Andrew P.
author_facet Bies, Martin
Miķelsons, Miķelis E.
Turner, Andrew P.
contents A primary goal of string phenomenology is to identify realistic four-dimensional physics within the landscape of string theory solutions. In F-theory, such solutions are encoded in the geometry of singular elliptic fibrations, whose study often requires particularly challenging and cumbersome computations. In this work, we introduce FTheoryTools, a novel software module integrated into the OSCAR computer algebra system, designed to automate the complex and tedious tasks involved in F-theory model building. Key features of FTheoryTools include the enumeration of G4-fluxes, the capability to perform blowups on arbitrary (including non-toric) loci, and a literature database of existing F-theory constructions employing a MaRDI-based data format for enhanced collaboration and reproducibility. As a demonstration of its power, we present a stress test by applying FTheoryTools to the challenging F-theory geometry with most flux vacua (arXiv:1511.03209). Our results illustrate the potential of FTheoryTools to streamline F-theory research and pave the way for future developments in the computational study of string phenomenology.
format Preprint
id arxiv_https___arxiv_org_abs_2506_13849
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle FTheoryTools: Advancing Computational Capabilities for F-Theory Research
Bies, Martin
Miķelsons, Miķelis E.
Turner, Andrew P.
High Energy Physics - Theory
Algebraic Geometry
A primary goal of string phenomenology is to identify realistic four-dimensional physics within the landscape of string theory solutions. In F-theory, such solutions are encoded in the geometry of singular elliptic fibrations, whose study often requires particularly challenging and cumbersome computations. In this work, we introduce FTheoryTools, a novel software module integrated into the OSCAR computer algebra system, designed to automate the complex and tedious tasks involved in F-theory model building. Key features of FTheoryTools include the enumeration of G4-fluxes, the capability to perform blowups on arbitrary (including non-toric) loci, and a literature database of existing F-theory constructions employing a MaRDI-based data format for enhanced collaboration and reproducibility. As a demonstration of its power, we present a stress test by applying FTheoryTools to the challenging F-theory geometry with most flux vacua (arXiv:1511.03209). Our results illustrate the potential of FTheoryTools to streamline F-theory research and pave the way for future developments in the computational study of string phenomenology.
title FTheoryTools: Advancing Computational Capabilities for F-Theory Research
topic High Energy Physics - Theory
Algebraic Geometry
url https://arxiv.org/abs/2506.13849