Sommaire:

We study the geometry of alpha' corrections to D-brane superpotentials using open-closed string duality. More specifically, we use F-Theory to study the contribution of D-branes in type IIB string theory wrapped on holomorphic cycles of a Calabi-Yau manifold to the superpotential, including the leading order alpha' corrections. We argue that mirror symmetry of the F-theoretic Calabi-Yau fourfold suggests that on the mirror dual type IIA side, some alpha' corrections of D-branes wrapped on special Lagrangian 3-cycles are topological and given by gravitational Chern-Simons invariants.

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