Integer Conformal Dimensions for Type IIA Flux Vacua

Abstract

We give a concise argument that supersymmetric AdS type IIA DGKT flux vacua on general Calabi-Yaus have, interpreted holographically, integer conformal dimensions for low-lying scalar primaries in the dual CFT. These integers are independent of any compactification details, such as the background fluxes or triple intersection numbers of the compact manifold. For the Kähler moduli and dilaton, there is one operator with $\Delta =10$ and $h_{-}^{1,1}$ operators with $\Delta =6$, whereas the corresponding axions have $\Delta =11$ and $\Delta =5$. For the complex structure moduli, the $h^{2,1}$ saxions have $\Delta =2$, and the axions $\Delta =3$. We give a tentative discussion of the origin of these integers and effects that would modify these results.

arXiv comment5 pages + references

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Cited by in corpus (11)

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• Pure Supersymmetric AdS and the Swampland
• O6-plane backreaction on scale-separated Type IIA AdS${}_3$ vacua
• Aspects of AdS flux vacua with integer conformal dimensions
• Non-integer conformal dimensions for type IIA flux vacua
• Mass spectrum of type IIB flux compactifications -- comments on AdS vacua and conformal dimensions
• AdS scale separation and the distance conjecture
• Negative scalar potentials and the swampland: an Anti-Trans-Planckian Censorship Conjecture
• Type IIB flux compactifications with $h^{1,1}=0$
• Exploring the landscape of (anti-) de Sitter and Minkowski solutions: group manifolds, stability and scale separation
• Shift Symmetries and AdS/CFT