Non-Simply-Connected Symmetries in 6D SCFTs

Understand

Six-dimensional N=(1,0) superconformal field theories can be engineered geometrically via F-theory on elliptically-fibered Calabi-Yau 3-folds.

• We include torsional sections in the geometry, which lead to a finite Mordell-Weil group.
• This allows us to identify the full non-Abelian group structure rather than just the algebra.
• The presence of torsion also modifies the center of the symmetry groups and the matter representations that can appear.