Space-time supersymmetry in large radius expansion of superstring compactification

Abstract

An explicit calculation is carried out to show that compactified solutions of superstring theory may be arrived at by a large radius perturbative expansion. These compactified solutions provide a generalization of the compactification on the Calabi-Yau spaces. The gauge connection is not an embedding of the spin connection but rather a connection on a more general holomorphic vector bundle over a complex manifold. We show explicitly that space-time supersymmetry is maintained under the expansion. The compactified dimensions are a complex hermitian manifold having SU(3) holonomy for a connection. The corresponding sigma model has the type (0, 2) supersymmetry.