Some Torsional Local Models of Heterotic Strings

Abstract

We construct solutions to the Strominger system on a class of noncompact Calabi-Yau 3-folds. These spaces include ${\mathbb{C}}^3$ and resolved conifold $\mathcal{O}(-1,-1)$ as special examples.

18 pages, comments are welcome! Updates in v2: References added, a discussion of extremal balanced metrics is included