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Math-Physics Joint Seminar

Tuesday, December 12, 2017 - 4:30pm

Ling Lin

University of Pennsylvania, Physics

Location

University of Pennsylvania

DRL 4C2

Rational sections of elliptic fibrations are known to gives rise to the abelian part of the gauge algebra in F-theory compactifications. In this talk I will focus on how the discrete structure of the Mordell—Weil lattice also encodes the global form of the full gauge group. Complex structure deformations that correspond to field theoretic (un-)higgsing further connects these ideas to F-theory on torus-fibrations with only multi-sections, which are believed to be hallmark of discrete abelian symmetries. Using an example constructed through the complex structure deformation, I will argue that we need to extend our current understanding of F-theory with multi-sections.