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.
Cvetič, M., Lin, L. (2018). TASI Lectures on Abelian and Discrete Symmetries in F-theory. POS PROCEEDINGS OF SCIENCE, TASI2017, 1-39 [10.22323/1.305.0020].
TASI Lectures on Abelian and Discrete Symmetries in F-theory
Lin, Ling
2018
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
