Tuned and non-Higgsable U(1)s in F-theory
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13130_2017_Article_5752.pdf
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Author(s)
Wang, Yinan
Date Issued
March 2017
Journal
Journal of High Energy Physics
Publisher
Springer Berlin Heidelberg
Citation
Wang, Yi-Nan. “Tuned and Non-Higgsable U(1)s in F-Theory.” Journal of High Energy Physics 2017.3 (2017): n. pag.
Version
Final published version
Abstract
We study the tuning of U(1) gauge fields in F-theory models on a base of general dimension. We construct a formula that computes the change in Weierstrass moduli when such a U(1) is tuned, based on the Morrison-Park form of a Weierstrass model with an additional rational section. Using this formula, we propose the form of “minimal tuning” on any base, which corresponds to the case where the decrease in the number of Weierstrass moduli is minimal. Applying this result, we discover some universal features of bases with non-Higgsable U(1)s. Mathematically, a generic elliptic fibration over such a base has additional rational sections. Physically, this condition implies the existence of U(1) gauge group in the low-energy supergravity theory after compactification that cannot be Higgsed away. In particular, we show that the elliptic Calabi-Yau manifold over such a base has a small number of complex structure moduli. We also suggest that non-Higgsable U(1)s can never appear on any toric bases. Finally, we construct the first example of a threefold base with non-Higgsable U(1)s.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
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DOI of Published Version
https://doi.org/10.1007/JHEP03(2017)140
