Searching for Coleman–de Luccia bubbles in AdS compactifications

Coleman-de Luccia transitions are spontaneous processes of nucleation bubbles within metastable gravitational vacua including in their interior a true stable vacuum. From the perspective lower-dimensional gauged supergravities obtained by truncating Type II and M-theory, these instantonic represented smooth domain walls featured de Sitter foliations. These geometries must connect two different AdS such way that wall is defined an exterior. We propose first-order formulation for radial flows present fully backreacted examples instantons through this technique, beyond thin-wall approximation. In first we consider minimal 7d supergravity describing truncation M-theory over squashed 4-sphere admitting AdS$_7$ vacua, one supersymmetric other not. Secondly apply same strategy to 6d Romans with consistent massive IIA supergravity. Also case derive dS interpolating between Brandhuber-Oz vacuum non-supersymmetric AdS$_6$ theory.