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Title: Fibration structure in toric hypersurface Calabi-Yau threefolds

Abstract

We find through a systematic analysis that all but 29,223 of the 473.8 million 4D reflexive polytopes found by Kreuzer and Skarke have a 2D reflexive subpolytope. Such a subpolytope is generally associated with the presence of an elliptic or genus one fibration in the corresponding birational equivalence class of Calabi-Yau threefolds. This extends the growing body of evidence that most Calabi-Yau threefolds have an elliptically fibered phase.

Authors:
 [1];  [1]
  1. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Center for Theoretical Physics
Publication Date:
Research Org.:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
OSTI Identifier:
1630289
Grant/Contract Number:  
SC0012567
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2020; Journal Issue: 3; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Differential and Algebraic Geometry; F-Theory; Superstring Vacua

Citation Formats

Huang, Yu-Chien, and Taylor, Washington. Fibration structure in toric hypersurface Calabi-Yau threefolds. United States: N. p., 2020. Web. https://doi.org/10.1007/JHEP03(2020)172.
Huang, Yu-Chien, & Taylor, Washington. Fibration structure in toric hypersurface Calabi-Yau threefolds. United States. https://doi.org/10.1007/JHEP03(2020)172
Huang, Yu-Chien, and Taylor, Washington. Fri . "Fibration structure in toric hypersurface Calabi-Yau threefolds". United States. https://doi.org/10.1007/JHEP03(2020)172. https://www.osti.gov/servlets/purl/1630289.
@article{osti_1630289,
title = {Fibration structure in toric hypersurface Calabi-Yau threefolds},
author = {Huang, Yu-Chien and Taylor, Washington},
abstractNote = {We find through a systematic analysis that all but 29,223 of the 473.8 million 4D reflexive polytopes found by Kreuzer and Skarke have a 2D reflexive subpolytope. Such a subpolytope is generally associated with the presence of an elliptic or genus one fibration in the corresponding birational equivalence class of Calabi-Yau threefolds. This extends the growing body of evidence that most Calabi-Yau threefolds have an elliptically fibered phase.},
doi = {10.1007/JHEP03(2020)172},
journal = {Journal of High Energy Physics (Online)},
number = 3,
volume = 2020,
place = {United States},
year = {2020},
month = {3}
}

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Works referenced in this record:

Evidence for F-theory
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