Type II/F-theory Superpotentials with Several Deformations and N=1 Mirror Symmetry

Understand

We present a detailed study of D-brane superpotentials depending on several open and closed-string deformations.

• The relative cohomology group associated with the brane defines a generalized hypergeometric GKZ system which determines the off-shell superpotential and its analytic properties under deformation.
• Explicit expressions for the N=1 superpotential for families of type II/F-theory compactifications are obtained for a list of multi-parameter examples.
• Using the Hodge theoretic approach to open-string mirror symmetry, we obtain new predictions for integral disc invariants in the A model instanton expansion.