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Leaps and bounds towards scale separation

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arxiv 2104.12773 v2 pith:VLNWRUBS submitted 2021-04-26 hep-th gr-qc

Leaps and bounds towards scale separation

G. Bruno De Luca , Alessandro Tomasiello This is my paper
classification hep-th gr-qc
keywords localscalebehaviorboundsclasscompactificationsgravityseparation
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In a broad class of gravity theories, the equations of motion for vacuum compactifications give a curvature bound on the Ricci tensor minus a multiple of the Hessian of the warping function. Using results in so-called Bakry--\'Emery geometry, we put rigorous general bounds on the KK scale in gravity compactifications in terms of the reduced Planck mass or the internal diameter. We reexamine in this light the local behavior in type IIA for the class of supersymmetric solutions most promising for scale separation. We find that the local O6-plane behavior cannot be smoothed out as in other local examples; it generically turns into a formal partially smeared O4.

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Cited by 4 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. Optimal paths across potentials on scalar field space

    hep-th 2026-04 unverdicted novelty 7.0

    Optimal transport yields a generalized Wasserstein distance on field space, obtained from a WKB expansion of a Schrödinger equation and extended to dynamical gravity via the Wheeler-DeWitt equation in the ADM formalism.

  3. Alice in Warpland: KK modes, Warped Compactifications and the Swampland

    hep-th 2026-03 unverdicted novelty 7.0

    In codimension-one warped compactifications with exponential potentials, the KK mass decay rate λ_KK is reduced by warping but still satisfies the Sharpened Distance Conjecture precisely when the higher-dimensional po...

  4. Instabilities in scale-separated Casimir vacua

    hep-th 2025-07 unverdicted novelty 5.0

    Casimir-stabilized AdS vacua with parametric scale separation in supergravity exhibit perturbative and non-perturbative instabilities under deformations.