Mirror symmetry and elliptic Calabi-Yau manifolds
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Huang-Taylor2019_Article_MirrorSymmetryAndEllipticCalab.pdf
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Published version
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860.82 KB
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Adobe PDF
Checksum (MD5)
b0ec3ef9374b3cf2afb2563aff658e0d
Author(s)
Huang, Yu-Chien
Taylor IV, Washington
Date Issued
April 2019
Journal
Journal of High Energy Physics
Publisher
Springer Science and Business Media LLC
Citation
Huang, Yu-Chien and Washington Taylor. “Mirror symmetry and elliptic Calabi-Yau manifolds.” Journal of High Energy Physics, vol. 2019, article 83 © 2019 The Author(s)
Version
Final published version
Abstract
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 B˜ that is related through toric geometry to the line bundle −6K 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.
MIT Department
Massachusetts Institute of Technology. Department of Physics
Terms of Use
Creative Commons Attribution 4.0 International license
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DOI of Published Version
https://doi.org/10.1007/JHEP04(2019)083
