Holographic correlators in AdS₃

We derive the four-point correlators of scalar operators of dimension one in the supergravity limit of the D1D5 CFT holographically dual to string theory on AdS₃×S³×ℳ, with ℳ either T⁴ or K3. We avoid the use of Witten diagrams but deduce our result from a limit of the heavy-heavy-light-light correlators computed in [1], together with several consistency requirements of the OPE in the various channels. This result represents the first holographic correlators of single-trace operators computed in AdS₃.