Bulk localized excited states in an AdS spacetime can be constructed from
Ishibashi states with respect to the global conformal symmetry in the dual CFT.
We study boundary two point functions of primary operators in the presence of
bulk localized excitations in two dimensional CFTs. From two point functions in
holographic CFTs, we observe causal propagations of radiations when the mass of
dual bulk scalar field is close to the BF bound. This behavior for holographic
CFTs is consistent with the locality and causality in classical gravity duals.
We also show that this cannot be seen in free fermion CFTs. Moreover, we find
that the short distance behavior of two point functions is universal and obeys
the relation which generalizes the first law of entanglement entropy.Comment: 23pages, Late