(23.4.) Testing a holographic constraint for scale separation in type II AdS3 compactifications
Vincent Van Hemelryck (Uppsala)
23.04.2026 at 16:15
Understanding whether string theory admits AdS vacua with scale separation, i.e. a large hierarchy between the cosmological constant and the Kaluza-Klein scale, remains a central challenge and source of debate in the field. In this context, holography couldd provid a powerful lens for assessing the consistency of such solutions. Yet, holographic duals to scale-separated vacua remain elusive. Motivated by the expectation that any putative dual must satisfy certain basic properties, recent work has proposed that scale-separated solutions whose mass spectra yield integer conformal dimensions must obey a non-trivial constraint on the cubic couplings of the theory. This criterion has been verified for the so-called DGKT solutions. In this talk, I will test this holographic constraint for a family of AdS3 solutions that exhibit scale separation with an integral spectrum. These solutions arise from compactifications of type II string theory on Z_2^3 orbifolds of twisted tori with G2-structure. I will show that the holographic constraint is not satisfied in these cases, but that it is restored when considering non-abelian orbifolds containing a Z_2^3-subgroup. I will also comment on the analogous situation for AdS4 compactifications on Z_2^2 orbifolds.
A348