String compactifications incorporating non-vanishing H-flux have received increased attention over the past decade for their potential relevance to the moduli stabilization problem. Their internal spaces are in general not Kähler and, therefore, not Calabi-Yau. In the heterotic string an important technical problem is to construct gauge bundles on such spaces. I will present a method of how to explicitly construct gauge bundles over homogeneous nearly-Kähler manifolds of dimension six. These bundles solve the heterotic string including first order alpha' corrections and allow for non-vanishing flux. I will also discuss some of the arising implications for model building.
Related Links •http://arxiv.org/abs/1107.3573 - presented results are based on this paper
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