22–25 Sept 2020
DESY Hamburg
Europe/Berlin timezone

F-theory on mirror dual Calabi-Yaus

24 Sept 2020, 16:50
20m
DESY Hamburg

DESY Hamburg

Speaker

Dr Paul-Konstantin Oehlmann (Uppsala University)

Description

In this work we consider pairs of elliptic Calabi-Yau threefolds, related by mirror symmetry that factorizes between fiber and base. Extending work of Berglund and Mayr, this allows us to deduce the mirror dual base and fibration structures which we use to build up a dictionary between two different F-theory SUGRA theories: The mirror acts as a quotient on the base while local gauge group factors get exchanged by their communtant in E8. We use this dictionary to explore Higgs and Coulomb branches in the dual theories by exploiting their inverse interpretations. This allows us to deduce the origin of non-Higgsable U(1)'s and Higgs branches of superconformal field theories with and without non-trivial global structures.

Primary authors

Dr Paul-Konstantin Oehlmann (Uppsala University) Prof. Washington Taylor (MIT)

Presentation materials