Scattering from an AdS_3 bubble and an exact AdS_3
arXiv:hep-th/9903054 · doi:10.1103/PhysRevD.61.024031
Abstract
We investigate the close relationship between the potential and absorption cross section for test fields in an AdS bubble(a 5D black hole) and an exact AdS. There are two solutions in type IIB string theory: an AdS bubble corresponds to the dilatonic solution, while an exact AdS is the non-dilatonic solution. In order to obtain the cross section for an AdS bubble, we introduce the \{out\}-state scattering picture with the AdS-AFS matching procedure. For an exact AdS, one considers the \{in\}-state scattering picture with the AdS-AdS 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 bubble take the same forms as those in an exact AdS. This suggests that in the dilute gas and the low energy limits, the S-matrix for an AdS bubble can be derived from an exact AdS space.
revised version to appear in Physical Review D, 26 pages with embedded 5 EPS figures in RevTex format
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