Universal isolation in the AdS landscape
U. H. Danielsson, G. Dibitetto, S. C. Vargas

TL;DR
This paper establishes universal criteria for non-perturbative stability of AdS vacua against bubble nucleation, validated through explicit string theory examples, and suggests potential universal features of such stability in the AdS landscape.
Contribution
It introduces a universal stability criterion for AdS vacua based on positive energy theorems and tests it in explicit string compactification models.
Findings
All BF-bound respecting critical points are non-perturbatively stable.
The stability criterion aligns with explicit string theory examples.
Potential universal features of AdS stability are proposed.
Abstract
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 and , 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.
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