First examples of scale-separated vacua with extended supersymmetry are constructed as circle compactifications of 4D massive IIA solutions with additional fluxes and sources.
A Holographic Constraint on Scale Separation
4 Pith papers cite this work. Polarity classification is still indexing.
4
Pith papers citing it
abstract
We propose a new consistency condition for the compatibility of a gravitational effective field theory in AdS with a dual holographic description in terms of a family of large-$N$ CFTs. Using large-$N$ factorization of correlation functions combined with a properly defined notion of single- and multi-particle operators, we argue that the cubic scalar bulk couplings for fields dual to operators with extremal arrangements of the conformal dimensions, i.e. $\Delta_i=\Delta_j+\Delta_k$, should vanish. We apply this criterion to the 4d $\mathcal{N}=1$ effective supergravity theory describing the simplest DGKT AdS$_4$ vacua in type IIA string theory and show that it is non-trivially satisfied. In addition, we calculate explicitly all non-vanishing three-point correlation functions of low-lying scalar operators in the putative 3d CFTs dual to these AdS$_4$ string theory backgrounds.
citation-role summary
background 2
citation-polarity summary
fields
hep-th 4years
2026 4roles
background 2polarities
background 2representative citing papers
DGKT vacua satisfy the holographic cubic coupling constraint if and only if the Calabi-Yau threefold is rigid (h^{2,1}=0).
Holographic constraint on AdS vacua is violated for Z2 orbifolds but restored by non-abelian extensions, implying O-planes cannot wrap cycles in distinct homology classes.
citing papers explorer
-
Scale-separated vacua with extended supersymmetry
First examples of scale-separated vacua with extended supersymmetry are constructed as circle compactifications of 4D massive IIA solutions with additional fluxes and sources.
-
$\mathcal{N}=1$ spectra, cubic couplings and the rigid fate of DGKT
DGKT vacua satisfy the holographic cubic coupling constraint if and only if the Calabi-Yau threefold is rigid (h^{2,1}=0).
-
Broken and restored: a holographic constraint for AdS vacua with orbifolds
Holographic constraint on AdS vacua is violated for Z2 orbifolds but restored by non-abelian extensions, implying O-planes cannot wrap cycles in distinct homology classes.
- A note on the holographic consistency of DGKT-type vacua with $h^{2,1}=0$