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Brane superpotential and local Calabi-Yau manifolds
We 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.Comment: 3 pages, contribution to the proceedings of the workshop "Progress of
String Theory and Quantum Field Theory", Osaka City University, December 200
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