On The Stability Of Non-Supersymmetric AdS Vacua

TL;DR

This paper investigates the stability of two families of non-supersymmetric AdS4 vacua in massive IIA supergravity, demonstrating their perturbative stability and analyzing their non-perturbative decay channels, with many decays being suppressed due to tension constraints.

Contribution

The study identifies perturbative stability of Type 2 and Type 3 non-supersymmetric AdS4 vacua and shows that decay channels are largely suppressed, revealing a pairing symmetry in the landscape.

Findings

Both families are perturbatively stable.

Many non-perturbative decays are ruled out due to tension constraints.

Type 2 vacua have no allowed decays within the approximations.

Abstract

We consider two infinite families of Non-Supersymmetric $AdS_4$ vacua, called Type 2) and Type 3) vacua, that arise in massive IIA supergravity with flux. We show that both families are perturbatively stable. We then examine non-perturbative decays of these vacua to other supersymmetric and non-supersymmetric $AdS_4$ vacua mediated by instantons in the thin wall approximation. We find that many decays are ruled out since the tension of the interpolating domain wall is too big compared to the energy difference in AdS units. In fact, within our approximations no decays of Type 2) vacua are allowed, although some decays are only marginally forbidden. This can be understood in terms of a "pairing symmetry" in the landscape which relate Type 2) vacua with supersymmetric ones of the same energy.