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Sep 27 – 30, 2016
DESY Hamburg
Europe/Berlin timezone

Mordell-Weil Torsion in the Mirror of Multi-Sections

Sep 28, 2016, 3:35 PM
Seminar room 1 (DESY Hamburg)

Seminar room 1

DESY Hamburg

Notkestrasse 85, 22607 Hamburg
String & Mathematical Physics Parallel Session: Strings & Mathematical Physics


Paul-Konstantin Oehlmann (DESY)


We give further evidence that genus-one fibers with multi-sections are mirror dual to fibers with Mordell-Weil torsion. In the physics of F-theory compactifications this implies a relation between models with a non-simply connected gauge group and those with discrete symmetries. We explicitly check this observation for torus fibers in two and three dimensional ambient spaces whereas the duality admits a combinatorial explanation for the first case. We comment on several new features of these models, such as self-dual fibers that realize models with quotient and discrete symmetries at the same time.

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