Comparing elliptic and toric hypersurface Calabi-Yau threefolds at large Hodge numbers

Huang, Yu-Chien; Taylor, Washington

doi:10.1007/jhep02(2019)087

Title: Comparing elliptic and toric hypersurface Calabi-Yau threefolds at large Hodge numbers

Journal Article · Thu Feb 14 00:00:00 EST 2019 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep02(2019)087· OSTI ID:1611865

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

Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

We compare the sets of Calabi-Yau threefolds with large Hodge numbers that are constructed using toric hypersurface methods with those can be constructed as elliptic fibrations using Weierstrass model techniques motivated by F-theory. There is a close correspondence between the structure of “tops” in the toric polytope construction and Tate form tunings of Weierstrass models for elliptic fibrations. We find that all of the Hodge number pairs (h^1,1, h^2,1) with h^1,1 or h^2,1 ≥ 240 that are associated with threefolds in the Kreuzer-Skarke database can be realized explicitly by generic or tuned Weierstrass/Tate models for elliptic fibrations over complex base surfaces. This includes a relatively small number of somewhat exotic constructions, including elliptic fibrations over non-toric bases, models with new Tate tunings that can give rise to exotic matter in the 6D F-theory picture, tunings of gauge groups over non-toric curves, tunings with very large Hodge number shifts and associated nonabelian gauge groups, and tuned Mordell-Weil sections associated with U(1) factors in the corresponding 6D theory.

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

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

Grant/Contract Number:: SC0012567

OSTI ID:: 1611865

Journal Information:: Journal of High Energy Physics (Online), Vol. 2019, Issue 2; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 17 works

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