dS supergravity from 10d

We consider flux compactification of type II string theory with local sources on SU(3)-structure manifolds. By adding pseudo-calibrated anti-Dp-branes wrapped on supersymmetric cycles we generalize all existing models so that the effective d = 4, M = 1 supergravity now includes a nilpotent multiplet. We present a new dictionary between string theory models and Kaehler potential K and superpotential W for these dS supergravities with a nilpotent multiplet and non-linearly realized local supersymmetry. In addition to KKLT and LVS with uplifting D3-branes, we have now new models with uplifting D5, D6, D7, D9-branes. The new uplifting contribution to the supergravity potential due to Volkov-Akulov supersymmetry is universal. As one application of our general result, we study classical flux compactifications of type IIA supergravity and find that a previously discovered universal tachyon is now absent. (copyright 2018 The Authors. Fortschritte der Physik Published by Wiley-VCH Verlag GmbH and Co. KGaA.)