  We present the holographic computation of the boundary two-point correlator
using the GKPW prescription for a scalar field in the AdS$_3$ space with a
conical defect. Generally speaking, a conical defect breaks conformal
invariance in the dual theory, however we calculate the classical Green
functions for a scalar field in the bulk with conical defect and use them to
compute the two-point correlator in the boundary theory. We compare the
obtained general expression with previous studies based on the geodesic
approximation. They are in good agreement for short correlators, and main
discrepancy comes in the region of long correlations. Meanwhile, in case of
$\mathbb{Z}_r$-orbifold, the GKPW result coincides with the one obtained via
geodesic images prescription and with the general result for the boundary
theory, which is conformal in this special case.
