General image supersymmetric fluxes in massive type IIA string theory Original Research Article

We study conditions on general fluxes of massive type IIA supergravity that lead to four-dimensional backgrounds with image supersymmetry. We derive these conditions in the case of image- as well as image-structures. image-structures imply that the internal space is constrained to be a nearly Kähler manifold with all the turned on fluxes, and the negative cosmological constant proportional to the mass parameter, and the dilaton fixed by the quantized ratio of the three-form and four-form fluxes. We further discuss the implications of such flux vacua with added intersecting D6-branes, leading to the chiral non-Abelian gauge sectors (without orientifold projections). Examples that break image-structures to image-ones allow for the internal space conformally flat (up to orbifold and orientifold projections), for which we give an explicit example. These results provide a starting point for further study of the four-dimensional (chiral) image supersymmetric solutions of massive type IIA supergravity with D-branes and fluxes, compactified on orientifolds.