PoS - Proceedings of Science
Volume 305 - Theoretical Advanced Study Institute Summer School 2017 "Physics at the Fundamental Frontier" (TASI2017) - Weeks 1-4
TASI Lectures on Abelian and Discrete Symmetries in F-theory
M. Cvetic* and L. Lin
Full text: pdf
Pre-published on: September 07, 2018
Published on: September 13, 2018
In F-theory compactifications, the abelian gauge sector is encoded in global structures of the internal geometry. These structures lie at the intersection of algebraic and arithmetic description of elliptic fibrations: While the Mordell–Weil lattice is related to the continuous abelian sector, the Tate–Shafarevich group is conjectured to encode discrete abelian symmetries in F-theory. In these notes we review both subjects with a focus on recent findings such as the global gauge group and gauge enhancements. We then highlight the application to F-theory model building.
DOI: https://doi.org/10.22323/1.305.0020
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