# (18.12.) Building a social network of elliptic fibrations for FTheory

Jonas Reuter (Bonn)

18.12.2014 at 14:50

We discuss the gauge groups and matter content for genus one

fibrations with their fiber a hypersurface in one of the 16 2D reflexive

polytopes, where some of these were already discussed in the literature.

The polyhedrons are connected by geometric transitions on the geometry

side which translates into a toric Higgs branch on the field theory

side. This network structure is symmetric and reflects the mirror

symmetry of the polytopes. This allows the identification of discrete

symmetries.

Arnold Sommerfeld Center

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Room 318