On the stability of non-supersymmetric AdS vacua

We consider two infinite families of Non-Supersymmetric AdS(4) vacua, called Type 2) and Type 3) vacua, that arise in massive IIA supergravity with flux. We show that both families are perturbatively stable. We then examine non-perturbative decays of these vacua to other supersymmetric and non-supersymmetric AdS(4) vacua mediated by instantons in the thin wall approximation. We find that many decays are ruled out since the tension of the interpolating domain wall is too big compared to the energy difference in AdS units. In fact, within our approximations no decays of Type 2) vacua are allowed, although some decays are only marginally forbidden. This can be understood in terms of a pairing symmetry in the landscape which relate Type 2) vacua with supersymmetric ones of the same energy.