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Abstract |
Four-dimensional N=1 vacua of F-theory are determined by three discrete choices.
A topological type of elliptically fibered Calabi-Yau fourfolds, a choice of flux and a minimum of the corresponding scalar potential.
While there are several constructions that provide an abundance of elliptic Calabi-Yau the choice of properly quantized flux is in general more involved.
We will start with a review of F-theory and the geometry of Calabi-Yau fourfolds.
We then describe how homological mirror symmetry can be used to determine properly quantized choices for a particular class of fluxes.
As an application in topological string theory we discuss modular properties of the Gromov-Witten potentials on non-singular Calabi-Yau fourfolds. |
