  The AdS/CFT duality maps supersymmetric heavy operators with conformal
dimension of the order of the central charge to asymptotically AdS supergravity
solutions. We show that by studying the quadratic fluctuations around such
backgrounds it is possible to derive the 4-point correlators of two light and
two heavy states in the supergravity approximation. We provide an explicit
example in the AdS$_3$ setup relevant for the duality with the D1-D5 CFT.
Contrary to previously studied examples, the supergravity correlator derived in
this work differs from the result obtained at the CFT orbifold point. Our
method bypasses the difficulties of applying the standard Witten's diagrams
approach to correlators with operators of large conformal dimension and also
avoids some technical steps that have made the computation of dynamical 4-point
correlators in the AdS$_3$/CFT$_2$ context unfeasible until now.

High Energy Physics - Theory