Scattering from an AdS3 bubble and an exact AdS3 space -: art. no. 024031

We investigate the close relationship between the potential and absorption cross section for test fields in an anti-de Sitter (AdS)(3) bubble (a five-dimensional black hole) and an exact AdS(3) space. There are two solutions in type-IIB string theory: an AdS(3) bubble corresponds to the dilatonic solution,while an exact AdS(3) space is the nondilatonic solution. In order to obtain the cross section for an AdS(3) bubble, we introduce the (out)-state scattering picture with the AdS(3)-asymptotically flat space matching procedure. For an exact AdS(3) space, one considers the {in}-state scattering picture with the AdS(3)-AdS(3) matching. Here the non-normalizable modes are crucially taken into account for the matching procedure. It turns out that the cross sections for the test fields in an AdS(3) bubble take the same forms as those in an exact AdS(3) space. This suggests that in the dilute gas and low-energy limits, the S matrix for an AdS(3) bubble can be derived from an exact AdS(3) space.