We prove a version of the Weak Gravity Conjecture for 6d F-theory or heterotic string
compactifications with 8 supercharges. This sharpens our previous analysis by including …

F-theory is perhaps the most general currently available approach to study non-perturbative
string compactifications in their geometric, large radius regime. It opens up a wide and ever …

Generalized global symmetries are a common feature of many quantum field theories
decoupled from gravity. By contrast, in quantum gravity/the Swampland program, it is widely …

A bstract We consider F-theory compactifications on genus-one fibered Calabi-Yau
manifolds with their fibers realized as hypersurfaces in the toric varieties associated to the …

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 …

We show that genus-one fibrations lacking a global section fit naturally into the geometric
moduli space of Weierstrass models. Elliptic fibrations with multiple sections (nontrivial …

A bstract We determine the higher codimension fibers of elliptically fibered Calabi-Yau
fourfolds with section by studying the three-dimensional\(\mathcal {N}\)= 2 supersymmetric …

A bstract We study the global structure of the gauge group G of F-theory compactified on an
elliptic fibration Y. The global properties of G are encoded in the torsion subgroup of the …

A bstract An algorithm to systematically construct all Calabi-Yau elliptic fibrations realized as
hypersurfaces in a toric ambient space for a given base and gauge group is described. This …

A bstract We study F-theory compactifications with U (1)× U (1) gauge symmetry on
elliptically fibered Calabi-Yau manifolds with a rank two Mordell-Weil group. We find that the …