Abelian F-theory models with charge-3 and charge-4 matter
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13130_2018_Article_8201.pdf
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Author(s)
Raghuram, Nikhil
Date Issued
May 2018
Journal
Journal of High Energy Physics
Publisher
Springer Berlin Heidelberg
Citation
Raghuram, Nikhil. “Abelian F-Theory Models with Charge-3 and Charge-4 Matter.” Journal of High Energy Physics, vol. 2018, no. 5, May 2018. © 2018 The Authors
Version
Final published version
Abstract
This paper analyzes U(1) F-theory models admitting matter with charges q = 3 and 4. First, we systematically derive a q = 3 construction that generalizes the previous q = 3 examples. We argue that U(1) symmetries can be tuned through a procedure reminiscent of the SU(N ) and Sp(N ) tuning process. For models with q = 3 matter, the components of the generating section vanish to orders higher than 1 at the charge-3 matter loci. As a result, the Weierstrass models can contain non-UFD structure and thereby deviate from the standard Morrison-Park form. Techniques used to tune SU(N ) models on singular divisors allow us to determine the non-UFD structures and derive the q = 3 tuning from scratch. We also obtain a class of a q=4 models by deforming a prior U(1) × U(1) construction. To the author’s knowledge, this is the first published F-theory example with charge-4 matter. Finally, we discuss some conjectures regarding models with charges larger than 4. Keywords:
F-Theory, Superstring Vacua
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1007/JHEP05(2018)050
