Starts 12 Dec 2014 16:30
Ends 12 Dec 2014 18:00
Central European Time
ICTP
Leonardo Building - Euler Lecture Hall
Abstract: We consider genus one fibrations for F-theory, with their fibers realized as hypersurfaces in the toric varieties associated to the 16 reflexive 2D polyhedra. For all of these we determine the gauge groups, matter representations, 6D matter multiplicities and 4D Yukawa couplings of their corresponding effective theories in a base independent way. We also explore the network of Higgsings relating these theories. Geometrically, such Higgsings correspond to extremal transitions induced by blow-ups in the 2D toric varieties. We recover the 6D effective theories of all 16 toric hypersurface fibrations upon successive Higgsings from the thee theories that exhibit Mordell-Weil torsion. We find that the three Calabi-Yau manifolds without section, whose fibers are given by the toric hypersurfaces in P^2, P^1x P^1 and the recently studied P^2(1,1,2), yield F-theory realizations of SUGRA theories with discrete gauge groups Z_3, Z_2 and Z_4. In these three manifolds, we also find codimension two I_2-fibers supporting matter charged only under these discrete gauge groups. This opens up a whole new arena for model building with discrete global symmetries in F-theory.