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-Émery 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.

De Luca, G., Tomasiello, A. (2021). Leaps and bounds towards scale separation. JOURNAL OF HIGH ENERGY PHYSICS, 2021(12) [10.1007/JHEP12(2021)086].

Leaps and bounds towards scale separation

De Luca G. B.
;
Tomasiello A.
2021

Abstract

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-Émery 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.
Articolo in rivista - Articolo scientifico
Classical Theories of Gravity; Flux compactifications; Spacetime Singularities; Superstring Vacua;
English
De Luca, G., Tomasiello, A. (2021). Leaps and bounds towards scale separation. JOURNAL OF HIGH ENERGY PHYSICS, 2021(12) [10.1007/JHEP12(2021)086].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/360254
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