Normal bundles to Laufer curves in local Calabi-Yau threefolds

We compute the tree-level superpotential coming from B-branes wrapped on curves for a class of local Calabi--Yau threefolds, the Laufer (non rational) local curves. The superpotential is obtained by studying the deformation-obstruction map for the curve inside the threefold. It corresponds to the commutative limit of the brane potential. In this generality we claim that the noncommutative superpotential can be obtained from the commutative one in a simple way.