Non-simply-laced symmetry algebras in F-theory on singular spaces
Abstract
We demonstrate how non-simply-laced gauge and flavor symmetries arise in F-theory on spaces with non-isolated singularities. The breaking from a simply-laced symmetry to one that is non-simply-laced is induced by Calabi-Yau complex structure deformation. In all examples the deformation maintains non-isolated singularities but is accompanied by a splitting of an I 1 seven-brane that opens new loops in the geometry near a non-abelian seven-brane. The splitting also arises in the moduli space of a probe D3-brane, which upon traversing the new loop experiences a monodromy that acts on 3-7 string junctions on the singular space. The monodromy reduces the symmetry algebra, which is the flavor symmetry of the D3-brane and the gauge symmetry of the seven-brane, to one that is non-simply-laced. A collision of the D3-brane with the seven-brane gives rise to a 4d N=1 SCFT with a non-simply-laced flavor symmetry.
- Publication:
-
Journal of High Energy Physics
- Pub Date:
- September 2018
- DOI:
- 10.1007/JHEP09(2018)129
- arXiv:
- arXiv:1805.06949
- Bibcode:
- 2018JHEP...09..129G
- Keywords:
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- F-Theory;
- Gauge Symmetry;
- High Energy Physics - Theory
- E-Print:
- doi:10.1007/JHEP09(2018)129