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arxiv: 2512.11031 · v2 · submitted 2025-12-11 · ✦ hep-th

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A Holographic Constraint on Scale Separation

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classification ✦ hep-th
keywords theorydeltadualoperatorscftscorrelationeffectivefunctions
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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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Scale-separated vacua with extended supersymmetry

    hep-th 2026-04 unverdicted novelty 8.0

    First examples of scale-separated vacua with extended supersymmetry are constructed as circle compactifications of 4D massive IIA solutions with additional fluxes and sources.

  2. Broken and restored: a holographic constraint for AdS vacua with orbifolds

    hep-th 2026-05 unverdicted novelty 5.0

    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.