Mitchell Institute for Fundamental Physics & Astronomy
College Station, Texas 77843
Within string compactifications, geometry and field theory are intertwined in deep ways, with classifications of geometry leading to new characterizations of field theories. Calabi-Yau elliptic fibrations play a key role in characterizing and classifying broad classes of string compactifications. In this talk, I will discuss compactifications of F-theory to 6-dimensions exhibiting discrete symmetries. I will also outline the physics of ’twisted’ dimensional reductions of F-theory from 6- to 5-dimensions and how they are realized by genus-one fibered Calabi-Yau threefolds with novel isometries.