N = 1 Heterotic String Vacua from Mirror Symmetry

We review a systematic construction of N = 1 supersymmetric heterotic string vacua using mirror symmetry. The method provides a large class of explicit solutions for stable, holomorphic vector bundles on Calabi–Yau n-folds Z n in terms of toric geometry. Phenomenologically interesting compactifications as well as non-perturbative dynamics of the heterotic string are discussed within this framework.