Brane superpotential and local Calabi-Yau manifolds
arXiv:0805.2738 · doi:10.1142/S0217751X08040780
Abstract
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.
3 pages, contribution to the proceedings of the workshop "Progress of String Theory and Quantum Field Theory", Osaka City University, December 2007