Versal deformations and superpotentials for rational curves in smooth threefolds
Algebraic Geometry
2007-05-23 v1 High Energy Physics - Theory
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.
Cite
@article{arxiv.math/0010289,
title = {Versal deformations and superpotentials for rational curves in smooth threefolds},
author = {Sheldon Katz},
journal= {arXiv preprint arXiv:math/0010289},
year = {2007}
}
Comments
11 pages, LaTeX