Gauged N = 2 Supergravity from Type II Compactified on Calabi-Yau 3-Fold with Background Fluxes

Abstract

We address some geometrical aspects of a special class of four dimensional N = 2 supergravity theory obtained from Calabi-Yau compactification of the Type II supergravities with background Ramond-Ramond (RR) fluxes.
In particular, several properties of the vector multiplet and hypermultiplet scalar manifolds determined by Calabi-Yau geometry and its deformation are considered. Moreover, aspects of background magnetic and electric fluxes on Calabi-Yau 3-fold which imply that the scalar manifolds have to be gauged with respect to their isometries related to the fluxes. We finally investigate the arising scalar potential and their vacua.