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arXiv · 1605.09289

Universal isolation in the AdS landscape

U. H. Danielsson·G. Dibitetto·S. C. Vargas
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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 $S^3$ and $S^3\,\times\,S^3$, 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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U. H. Danielsson, G. Dibitetto, S. C. Vargas. 2016-05-30. Universal isolation in the AdS landscape. https://doi.org/10.1103/physrevd.94.126002

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