  We consider three-point correlation functions for superstrings propagating in
AdS$_3\times S^3 \times T^4$. In the RNS formalism, these generically involve
correlators with current insertions. When vertex operators with non-trivial
spectral flow charges are present, their complicated OPEs with the currents
imply that standard methods can not be used to compute such correlators. Here
we develop novel techniques for computing all $m$-basis correlators of the
supersymmetric model. We then show how, in some cases, these results can be
translated to the $x$-basis. We obtain a new family of holographic three-point
functions involving spacetime chiral primaries living in spectrally flowed
sectors of the worldsheet CFT. These match precisely the predictions from the
holographic dual at the symmetric product orbifold point. Finally, we also
consider long strings and compute the probability amplitude associated with the
process describing the emission/absorption of fundamental string quanta.
