Holographic bulk reconstruction beyond (super)gravity

Abstract

We outline a holographic recipe to reconstruct ${\alpha }^{\prime }$ corrections to AdS (quantum) gravity from an underlying CFT in the strictly planar limit ($N\to \infty$). Assuming that the boundary CFT can be solved in principle to all orders of the 't Hooft coupling $\lambda$, for scalar primary operators, the ${\lambda }^{-1}$ expansion of the conformal dimensions can be mapped to higher curvature corrections of the dual bulk scalar field action. Furthermore, for the metric pertubations in the bulk, the AdS/CFT operator-field isomorphism forces these corrections to be of the Lovelock type. We demonstrate this by reconstructing the coefficient of the leading Lovelock correction, aka the Gauss-Bonnet term in a bulk AdS gravity action using the expression of stress-tensor two-point function up to sub-leading order in ${\lambda }^{-1}$.

19 pages, typos corrected, published version (journal version title is different)

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Cited by in corpus (4)

• Bulk metric reconstruction from boundary entanglement
• An AdS/EFT correspondence at large charge
• Holography in de Sitter and anti-de Sitter Spaces and Gel'fand Graev Radon transform
• Bulk reconstruction in AdS and Gel'fand-Graev-Radon Transform