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arXiv · 1809.00012

TASI Lectures on Abelian and Discrete Symmetries in F-theory

Mirjam Cvetic·Ling Lin
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Abstract

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.

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Mirjam Cvetic, Ling Lin. 2018-08-31. TASI Lectures on Abelian and Discrete Symmetries in F-theory. https://arxiv.org/abs/1809.00012

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