Holographic correlators with multi-particle states

A bstract We derive the connected tree-level part of 4-point holographic correlators in AdS 3 × S $$ \mathcal{M} M (where is T 4 or K 3) involving two multi-trace and single-trace operators. These are obtained by studying a heavy-heavy-light-light correlation function formal limit where heavy operators become light. results provide window into higher-point single-particle find that compactly written terms Bloch-Wigner-Ramakrishnan functions — particular linear combinations higher-order polylogarithm functions. Several consistency checks derived expressions performed various OPE channels. also extract anomalous dimensions 3-point couplings non-BPS double-trace lowest twist at order 1 /c some positive spin zero K3 case.