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Integer Conformal Dimensions for Type IIA Flux Vacua

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arxiv 2202.09330 v1 pith:JFOYZIUW submitted 2022-02-18 hep-th

Fien Apers , Joseph P. Conlon , Sirui Ning , Filippo Revello This is my paper · ORCID
classification hep-th
keywords deltaaxionsconformaldimensionsfluxgiveintegerintegers
verification ladder T0 review T1 audit T2 compute T3 formal
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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 K\"ahler 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.

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Cited by 4 Pith papers

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

  1. On the branes behind scale-separated AdS$_{3}$ flux vacua

    hep-th 2026-06 conditional novelty 6.5 of 10

    Scale-separated supersymmetric AdS3 flux vacua of type IIB G2-orientifolds arise as the near-horizon region of codimension-one smeared D1-D5-KK5 intersections.

  2. Backtracking AdS flux vacua

    hep-th 2025-06 conditional novelty 6.0 of 10

    Flux backtracking produces candidate brane-probe singularities for AdS flux vacua, including a new strongly coupled massive IIA singularity conjectured to be the brane picture of DGKT.

  3. Warped G$_2$-throats in IIA and uplift dSillusions

    hep-th 2025-05 conditional novelty 6.0 of 10

    Anti-D2 brane uplifting of classical AdS3 vacua in IIA on G2 orientifolds is forbidden by O6 tadpole constraints, so dS3 must rely on quantum corrections to no-scale Minkowski vacua.

  4. Integer dual dimensions in scale-separated AdS$_3$ from massive IIA

    hep-th 2025-02 conditional novelty 6.0 of 10

    Massive IIA flux compactifications on singular and Joyce G2 orbifolds yield scale-separated AdS3 vacua whose dual operator dimensions are integer up to parametrically small corrections.

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