  We calculate correlation functions of the R-current or the stress-energy
tensor T_{\mu\nu} with two non-protected operators dual to generic massive
string states with rotation in S^5, in the context of the AdS/CFT
correspondence. Field theory Ward identities make predictions about the
all-loop behaviour of these correlators. In particular, they restrict the
fusion coefficient to be proportional to the R-charge of the operators or to
their dimension, respectively, with certain coefficients of proportionality. We
reproduce these predictions, at strong coupling, using string theory.
Furthermore, we point out that the recently observed strong coupling
factorisation of 4-point correlators is consistent with conformal symmetry and
puts constraints on the strong coupling expressions of 4-point correlators
involving R-currents or the stress-energy tensor.
