Universal isolation in the AdS landscape

Authors: Ulf H. Danielsson, Giuseppe Dibitetto and Sergio C. Vargas Preprint Number: UUITP-11/16 We study the universal conditions for quantum non-perturbative stability against bubble nucleation for pertubatively stable AdS vacua based on positive energy theorems. We also compare our analysis with the pre-existing ones in the literature carried out within the thin-wall approximation. The aforementioned criterion is then tested in two explicit examples describing massive type IIA string theory compactified on S3 and S3 x S3, respectively. The AdS landscape of both classes of compactifications is known to consist of a set of isolated points.   The main result is that all critical points respecting the Breitenlohner-Freedaman (BF) bound also turn out be stable at a non-perturbative level. Finally, we speculate on the possible universal features that may be extracted from the above specific examples.