Mirror symmetry and elliptic Calabi-Yau manifolds

Huang, Yu-Chien; Taylor, Washington

doi:10.1007/jhep04(2019)083

Mirror symmetry and elliptic Calabi-Yau manifolds

Journal Article · Wed Apr 10 00:00:00 EDT 2019 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep04(2019)083· OSTI ID:1611867

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

Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); DOE/OSTI
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

We find that for many Calabi-Yau threefolds with elliptic or genus one fibrations mirror symmetry factorizes between the fiber and the base of the fibration. In the simplest examples, the generic CY elliptic fibration over any toric base surface B that supports an elliptic Calabi-Yau threefold has a mirror that is an elliptic fibration over a dual toric base surface $$\tilde{B}$$ that is related through toric geometry to the line bundle -6 K B . The Kreuzer-Skarke database includes all these examples and gives a wide range of other more complicated constructions where mirror symmetry also factorizes. Since recent evidence suggests that most Calabi-Yau threefolds are elliptic or genus one fibered, this points to a new way of understanding mirror symmetry that may apply to a large fraction of smooth Calabi-Yau threefolds. The factorization structure identified here can also apply for CalabiYau manifolds of higher dimension.

View Accepted Manuscript (DOE)

Research Organization:: Massachusetts Inst. 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:: 1611867

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 4 Vol. 2019; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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