Orbifold Phases of Heterotic Flux Vacua

By studying phase transitions in supersymmetric gauge theories with Green-Schwarz anomaly cancellation, a natural relation is found between sigma models on certain non-Kahler manifolds with intrinsic torsion and asymmetric Landau-Ginzburg orbifolds. In these orbifold limits, a quantum anomaly of the orbifold action is cancelled by discrete phases in the partition function. These intrinsic torsion phases are derived by blowing down cycles supporting non-trivial H-flux in the linear model. This correspondence extends the CY-LG correspondence to special non-Kahler manifolds and provides computational tools with which to study the spectra of associated heterotic flux vacua.