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Scattering off Chamblin-Reall branes

Dongsheng Ge1,2 and Christopher P. Herzog3

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Phys. Rev. D 114, 066019 – Published 25 September, 2026

DOI: https://doi.org/10.1103/jcpn-f8f5

Abstract

We study the linearized scattering of dilaton-graviton waves from a thin brane in three-dimensional spacetime. Holographically, the setup models scattering from an interface in a family of strongly coupled theories related to dimensional reductions of higher (d+2)-dimensional anti-de Sitter (AdSd+2) gravity. Unlike the pure AdS3 case, for d>1 the physical bulk mode allows incident radiation to be redistributed into reflected, transmitted, and evanescent components. For the d=2 background, we obtain a controlled solution in which the interface acts like a rough translucent window, producing diffuse angular scattering and absorption into surface modes. From the dual perspective, the scattering process is suggestive of dissipative flow toward the infrared. For d=4, the same analysis reveals a sensitivity to the infrared boundary condition, suggesting that the singular zero-temperature geometry must be regulated in order to have a well-defined scattering process. The structure of the equations nevertheless suggests that a regulated d=4 problem may exhibit the same qualitative redistribution of incident flux.

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Phys. Rev. D 114, 066019– Published 25 September, 2026
  • Received 26 June 2026
  • Accepted 21 August 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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