64 citations · 192 across the 16 of their papers we have counts for
4 papers · 1 filter
Geometry and Topology of String Junctions
Antonella Grassi, James Halverson, Julius L. Shaneson
We study elliptic fibrations by analyzing suitable deformations of the fibrations and vanishing cycles. We introduce geometric string junctions and describe some of their propertie…
Non-Higgsable QCD and the Standard Model Spectrum in F-theory
Antonella Grassi, James Halverson, Julius Shaneson +1
Many four-dimensional supersymmetric compactifications of F-theory contain gauge groups that cannot be spontaneously broken through geometric deformations. These "non-Higgsable clu…
Estimates on Lattice Points in the Circle
Julius L. Shaneson
This paper provides estimates on the difference between the number of integer lattice points an a circle centered at the origin and the area. The estimates have the form "Big O" of…
Non-Abelian Gauge Symmetry and the Higgs Mechanism in F-theory
Antonella Grassi, James Halverson, Julius L. Shaneson
Singular fiber resolution does not describe the spontaneous breaking of gauge symmetry in F-theory, as the corresponding branch of the moduli space does not exist in the theory. Ac…