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Origin of Abelian Gauge Symmetries in Heterotic/F-theory Duality · Around

2015

Origin of Abelian Gauge Symmetries in Heterotic/F-theory Duality

Cvetic, Mirjam, Grassi, Antonella, Klevers, Denis et al.

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We study aspects of heterotic/F-theory duality for compactifications with Abelian gauge symmetries.

We consider F-theory on general Calabi-Yau manifolds with a rank one Mordell-Weil group of rational sections.
By rigorously performing the stable degeneration limit in a class of toric models, we derive both the Calabi-Yau geometry as well as the spectral cover describing the vector bundle in the heterotic dual theory.
We carefully investigate the spectral cover employing the group law on the elliptic curve in the heterotic theory.

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