Supersymmetric AdS vacua and separation of scales

Abstract

The moduli space of the supersymmetric massive IIA AdS4xS2(B4) vacua, where S2(B4) is a two-sphere bundle over a four-dimensional Kaehler-Einstein base B4, includes three independent parameters which can be thought of as corresponding to the sizes of AdS4, B4 and the S2 fiber. It might therefore be expected that these vacua do not suffer from the absence of scale separation. We show that the independence of the geometric moduli survives flux quantization. However, we uncover an attractor behavior whereby all sizes flow to equality in some neighborhood of spacetime independently of the initial conditions set by the parameters of the solution. This is further confirmed by the study of the ratio of internal to external scalar curvatures. We also show that the asymptotic Kaluza-Klein spectrum of a ten-dimensional massive scalar is governed by a scale of the order of the AdS4 radius. Furthermore we point out that the curvature ratio in supersymmetric IIA AdS4 vacua with rigid SU(3) structure is of order one, indicating the absence of scale separation in this large class of vacua.

21 pages, 2 figures; v2 typos corrected

References in corpus (5)

• Type IIA AdS4 compactifications on cosets, interpolations and domain walls
• New supersymmetric AdS4 type II vacua
• New string vacua from twistor spaces
• Massive type IIA string theory cannot be strongly coupled
• N=2 solutions of massive type IIA and their Chern-Simons duals

Cited by in corpus (34)

• M-theory and Type IIA Flux Compactifications
• Remarks on scale separation in flux vacua
• O-plane Backreaction and Scale Separation in Type IIA Flux Vacua
• IR/UV Mixing, Towers of Species and Swampland Conjectures
• Scale-separated AdS${}_4$ vacua of IIA orientifolds and M-theory
• Massive Anti-de Sitter Gravity from String Theory
• AdS vacua with scale separation from IIB supergravity
• No-scale and scale-separated flux vacua from IIA on G2 orientifolds
• On scale separation in type II AdS flux vacua
• AdS${}_2$ Type-IIA Solutions and Scale Separation
• Weak gravity versus scale separation
• Intricacies of classical de Sitter string backgrounds
• Three-dimensional flux vacua from IIB on co-calibrated G2 orientifolds
• On the spin-2 Kaluza-Klein spectrum of AdS4 x S2(B4)
• Scale-separated AdS${}_3$ vacua from $G_2$-orientifolds using bispinors
• O6-plane backreaction on scale-separated Type IIA AdS${}_3$ vacua
• Revisiting Dudas-Mourad compactifications
• AdS scale separation and the distance conjecture
• Finding $Ad{S}^5\times S^5$ in 2+1 dimensional SCFT physics
• A note on smeared branes in flux vacua and gauged supergravity
• Gaugino mass term for D-branes and Generalized Complex Geometry
• Logarithmic correction to black hole entropy in universal low-energy string theory models
• Quantum gravity constraints on scale separation and de Sitter in five dimensions
• BPS domain walls from backreacted orientifolds
• Warp factor and the gravitational wave spectrum
• Revisiting toric SU(3) structures
• New Examples of Flux Vacua
• Leaps and bounds towards scale separation
• Supersymmetric IIB Background with AdS_4 Vacua from Massive IIA Supergravity
• Exploring the landscape of (anti-) de Sitter and Minkowski solutions: group manifolds, stability and scale separation
• Relative scale separation in orbifolds of $S^2$ and $S^5$
• Uplift and towers of states in warped throat
• Massive gravitons on the Landscape and the AdS Distance Conjecture
• Domain walls inside localised orientifolds