D-brane Superpotentials: Geometric and Worldsheet Approaches

Understand

From the worldsheet perspective, the superpotential on a D-brane wrapping internal cycles of a Calabi-Yau manifold is given as a generating functional for disk correlation functions.

• On the other hand, from the geometric point of view, D-brane superpotentials are captured by certain chain integrals.
• In this work, we explicitly show for branes wrapping internal 2-cycles how these two different approaches are related.
• More specifically, from the worldsheet point of view, D-branes at the Landau-Ginzburg point have a convenient description in terms of matrix factorizations.