Generalized flux vacua

We consider type II string theory compactified on a symmetric T ⁶/₂ orientifold. We study a general class of discrete deformations of the resulting four-dimensional supergravity theory, including gaugings arising from geometric and ''nongeometric'' fluxes, as well as the usual R-R and NS-NS fluxes. Solving the equations of motion associated with the resulting ≤ 1 superpotential, we find infinite families of supersymmetric vacua with all moduli stabilized. These solutions have parametrically small string coupling and moduli masses, although we expect that a complete string realization of these models would suffer from large α′ corrections. We also describe some aspects of the distribution of generic solutions to the SUSY equations of motion for this model, and note in particular the existence of an apparently infinite number of solutions in a finite range of the parameter space of the four-dimensional effective theory.