Generalized Symmetries in F-theory and the Topology of Elliptic Fibrations

Understand

We realize higher-form symmetries in F-theory compactifications on non-compact elliptically fibered Calabi-Yau manifolds.

• Central to this endeavour is the topology of the boundary of the non-compact elliptic fibration, as well as the explicit construction of relative 2-cycles in terms of Lefschetz thimbles.
• We apply the analysis to a variety of elliptic fibrations, including geometries where the discriminant of the elliptic fibration intersects the boundary.
• We provide a concrete realization of the 1-form symmetry group by constructing the associated charged line operator from the elliptic fibration.