Fibration structure in toric hypersurface Calabi-Yau threefolds

Huang, Yu-Chien; Taylor, Washington

doi:10.1007/JHEP03(2020)172

Title: Fibration structure in toric hypersurface Calabi-Yau threefolds

Journal Article · 27 March 2020 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/JHEP03(2020)172 · OSTI ID:1630289

Huang, Yu-Chien ^[1]; Taylor, Washington ^[2]

Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Center for Theoretical Physics; Massachusetts Institute of Technology
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Center for Theoretical Physics

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.

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Research Organization:: Massachusetts Institute of Technology (MIT), Cambridge, MA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

Grant/Contract Number:: SC0012567

OSTI ID:: 1630289

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 3 Vol. 2020; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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