F-theory on quotients of elliptic Calabi-Yau threefolds

Abstract

Abstract In this work we consider quotients of elliptically fibered Calabi-Yau threefolds by freely acting discrete groups and the associated physics of F-theory compactifications on such backgrounds. The process of quotienting a Calabi-Yau geometry produces not only new genus one fibered manifolds, but also new effective 6-dimensional physics. These theories can be uniquely characterized by the much simpler covering space geometry and the symmetry action on it. We use this method to construct examples of F-theory models with an array of discrete gauge groups and non-trivial monodromies, including an example with ℤ6 discrete symmetry.

Keywords

• Differential and Algebraic Geometry
• Discrete Symmetries
• F-Theory
• M-Theory