I will discuss the next to leading order corrections to the heterotic bundle constructions of Klaput, Lukas and Matti. I will show how these constructions lead to a non-zero H-flux at next to leading order, and how this flux may be used to stabilise either the dilaton, or the volume of the internal space. I will then add a gaugino condensate to the 4D supergravity, and show that for certain bundle choices it is possible to stabilise all moduli at consistent values.
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