Brane-jet stability of non-supersymmetric AdS vacua

Abstract

We classify the non-supersymmetric, and perturbatively stable within D = 4, AdS vacua of maximal D = 4 supergravity with a dyonic ISO(7) gauging in a large sector of the supergravity. Seven such vacua are established within this sector, all of them giving rise to non-supersymmetric AdS4× S6 type IIA backgrounds with and without non-trivial warpings and with internal fluxes. Then, we analyse the dynamics of various probe Dp- branes in these backgrounds searching for potential brane-jet instabilities. In all these cases, such instabilities are absent. Finally, an alternative decay channel through tunnelling is investigated, focusing on one of the seven backgrounds. We do not find instabilities either, but the analysis remains inconclusive.

Super-Chern-Simons spectra from exceptional field theory

“…Namely, that the relevant AdS solutions have an associated consistent truncation to lower-dimensional maximal gauged supergravity, and that the internal space in the ordinary D = 10 or D = 11 sense, must be topologically spherical. These are not severe limitations, since the class of AdS solutions of this type still comes in cornucopious abundance [24][25][26][27]. Furthermore, having fixed an allowed lower-dimensional gauging, the same set of spherical harmonics on the associated round sphere is valid to compute the KK spectra about any other AdS solution that uplifts from the same gauging, even if the round sphere is not a (supersymmetric) solution itself.…”

The non-SUSY AdS6 and AdS7 fixed points are brane-jet unstable

“…Now we study the worldvolume action of the M5-branes which is given by a sum of DBI and WZ terms. If the probe branes move slowly, the worldvolume action is 13) whereC (6) is the pull-back of the six-form potential. 8 Then the worldvolume action reduces to 14) where the kinetic and the potential terms are…”

“…In [8], the authors showed the only known perturbatively stable non-supersymmetric AdS 4 vacuum, [9,10], among the AdS vacua of four-, [11], and five-, [12], dimensional maximal gauged supergravity is, in fact, brane-jet unstable. See also [13] for the brane-jet stability from the D2-brane theories.…”

Winding uplifts and the challenges of weak and strong SUSY breaking in AdS

“…2 One may call this 'Absolute non-SUSY AdS Conjecture'. In such a strong formulation this conjecture is in conflict with the constructions of [46,[48][49][50][51]. 3 It then remains an interesting question whether some softened form of such a conjecture has a chance of being true.…”

“…as a cosmologically created bubble. 3 The recent discussions of [50,51] (based on [52]) suggest that their solutions are stable. However, it is not clear to us to which extent non-perturbative instabilities can be excluded.…”