A Celestial route to AdS bulk locality

A bstract We prove a precise form of AdS bulk locality by deriving analytical two-sided bounds on Wilson coefficients. Our are the coefficients themselves, rather than their ratios, as is typically found in literature. Inspired Celestial amplitudes program flat space, we perform transform CFT Mellin amplitude four identical scalars. Using crossing symmetric dispersion relation (CSDR), express resulting terms conformal partial waves. The waves satisy remarkable positivity properties which along with unitarity sufficient to derive bounds. then employ our methods limit large radius and recover known space new corrections. check that planar stress-tensor multiplets $$ \mathcal{N} N = 4 SYM satisfies Finally, using null constraints, low-spin dominance EFTs. find strongest weakens move away from towards higher curvature.