Gauged N=2 supergravity in nine dimensions and domain wall solutions

We present massive N=2 supergravity with SO(2)-gauging in nine dimensions by direct construction. A full Lagrangian and transformation rules are fixed, respectively, up to quartic and quadratic fermion terms. Corresponding to the generalized Scherk–Schwarz dimensional reduction utilizing SL(2,R) symmetry, this theory allows three arbitrary mass parameters m0, m1 and m2 in addition to the minimal gauge coupling g, so that our system has the most general form compared with other results in the past. Unlike ordinary gauged maximal supergravity theories in other dimensions, the scalar potential is positive definite for arbitrary values of the mass parameters. As an application, we also analyze the stability and supersymmetry for 7-brane domain wall solutions for this gauged maximal supergravity, keeping the three mass parameters.