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PreprintCC BY 4.0HAL

Energy Transmission Across Holographic Conformal Interfaces in General Dimensions

  • Igal Arav
  • Theodore Bertrand
  • Shira Chapman
  • Giuseppe Policastro
  • Sebastian Waeber
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Abstract

Energy transport across conformal interfaces is universal in two spacetime dimensions, but its higher-dimensional counterpart has remained largely unexplored. In higher dimensions, scattering can depend on additional kinematic data, such as the angle of incidence, and conformal symmetry is far less restrictive. We use gravitational holography to study this problem. For a broad class of AdSd-sliced domain-wall geometries, we derive a closed-form expression for the energy transmission coefficient in terms of the bulk warp factor. Our formula reproduces known two-dimensional holographic results and extends them to arbitrary dimension. Within this class, we establish different aspects of higher-dimensional universality. In particular, we show that the transmission is independent of the incidence angle and of the profile of the incident perturbation. We also derive bounds on transmission controlled by central-charge-like quantities characterizing the number of degrees of freedom of the theories on the two sides of the interface. This provides the first explicit result for reflection and transmission across conformal interfaces in higher dimensions, where no CFT-based results are currently available.

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Cite

BibTeXRIS
BibTeX
@misc{arav2026energy,
  title = {{Energy Transmission Across Holographic Conformal Interfaces in General Dimensions}},
  author = {Igal Arav and Theodore Bertrand and Shira Chapman and Giuseppe Policastro and Sebastian Waeber},
  howpublished = {HAL},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.38318},
  eprint = {2609.38318},
  archivePrefix = {arXiv},
  url = {https://hal.science/hal-05781911v1},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Energy Transmission Across Holographic Conformal Interfaces in General Dimensions
AU  - Igal Arav
AU  - Theodore Bertrand
AU  - Shira Chapman
AU  - Giuseppe Policastro
AU  - Sebastian Waeber
PY  - 2026
DA  - 2026/09/29
PB  - HAL
DO  - 10.48550/arxiv.2609.38318
UR  - https://hal.science/hal-05781911v1
AB  - Energy transport across conformal interfaces is universal in two spacetime dimensions, but its higher-dimensional counterpart has remained largely unexplored. In higher dimensions, scattering can depend on additional kinematic data, such as the angle of incidence, and conformal symmetry is far less restrictive. We use gravitational holography to study this problem. For a broad class of AdS_d-sliced domain-wall geometries, we derive a closed-form expression for the energy transmission coefficient in terms of the bulk warp factor. Our formula reproduces known two-dimensional holographic results and extends them to arbitrary dimension. Within this class, we establish different aspects of higher-dimensional universality. In particular, we show that the transmission is independent of the incidence angle and of the profile of the incident perturbation. We also derive bounds on transmission controlled by central-charge-like quantities characterizing the number of degrees of freedom of the theories on the two sides of the interface. This provides the first explicit result for reflection and transmission across conformal interfaces in higher dimensions, where no CFT-based results are currently available.
ER  -