2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/198033We briefly report on some recent progress in the computation of B-brane superpotentials for Type II strings compactified on Calabi-Yau manifolds, obtained by using a parametrization of tubular neighborhoods of complex submanifolds, also known as local spaces. In particular, we propose a closed expression for the superpotential of a brane on a genus-g curve in a Calabi-Yau threefold in the case in which there exists a holomorphic projection from the local space around the curve to the curve itself.3 pages, contribution to the proceedings of the workshop "Progress of String Theory and Quantum Field Theory", Osaka City University, December 2007High Energy Physics - TheoryAlgebraic Geometrytext