  We construct hybrid linear models in which the chiral anomaly of a gauged
linear sigma model is canceled by the classical anomaly of a gauged WZW model.
Semi-classically, this corresponds to fibering the WZW model over the naive
target space of the sigma model. When the gauge group is abelian, we recover
known non-Kahler compactifications; non-abelian models describe novel
quasi-geometric flux vacua of the heterotic string.
