We outline a holographic recipe to reconstruct α′ corrections to AdS
(quantum) gravity from an underlying CFT in the strictly planar limit
(N→∞). Assuming that the boundary CFT can be solved in
principle to all orders of the 't Hooft coupling λ, for scalar primary
operators, the λ−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
λ−1.Comment: 19 pages, typos corrected, published version (journal version title
is different