Scattering from an AdS3 bubble and an exact AdS3
Abstract
We investigate the close relationship between the potential and absorption cross section for test fields in an AdS3 bubble(a 5D black hole) and an exact AdS3. There are two solutions in type IIB string theory: an AdS3 bubble corresponds to the dilatonic solution, while an exact AdS3 is the non-dilatonic solution. In order to obtain the cross section for an AdS3 bubble, we introduce the \out\-state scattering picture with the AdS3-AFS matching procedure. For an exact AdS3, one considers the \in\-state scattering picture with the AdS3-AdS3 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 AdS3 bubble take the same forms as those in an exact AdS3. This suggests that in the dilute gas and the low energy limits, the S-matrix for an AdS3 bubble can be derived from an exact AdS3 space.
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