Target spaces from chiral gauge theories

Chiral gauge theories in two dimensions with (0, 2) supersymmetry are central in the study of string compactifications. Remarkably little is known about generic (0, 2) theories. We consider theories with branches on which multiplets with a net gauge anomaly become massive. The simplest example is a relevant perturbation of the gauge theory that flows to the CPn model. To compute the effective action, we derive a useful set of Feynman rules for (0, 2) supergraphs. From the effective action, we see that the infra-red geometry reflects the gauge anomaly by the presence of a boundary at finite distance. In generic examples, there are boundaries, fluxes and branes, the resulting spaces are non-Kahler.