Versal deformations and superpotentials for rational curves in smooth threefolds
arXiv:math/0010289
Abstract
The versal deformation space of a smooth rational curve in a smooth complex threefold is explicitly computed under certain hypotheses. Under an additional hypothesis, the versal deformation space is then shown to be the variety of critical points of a holomorphic function, the superpotential, as predicted by the consideration of D-branes in string theory.
11 pages, LaTeX