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Ultraviolet dissipation and defect OPE in bottom-up holographic interfaces

Abstract

We study the radial ultraviolet dissipation quantity cUV defined in arXiv:2601.16888v3 and defect OPE data in bottom-up holographic interfaces. We relate cUV along with the defect primary spectrum and BOPE coefficients in the large defect dimension limit to the optical length ρ in the holographic bulk. In addition, we prove a new holographic bound for conformal interfaces relating entanglement entropy, energy transmission and UV dissipation: cLR≥ 2ceff/(2+π(c/cUV−1)). This compliments the upper bound of cLR by ceff proved in arXiv:2404.01515.

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BibTeX
@misc{wang2026ultraviolet,
  title = {{Ultraviolet dissipation and defect OPE in bottom-up holographic interfaces}},
  author = {Mianqi Wang},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.02964},
  eprint = {2610.02964},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.02964},
}
RIS
TY  - UNPB
TI  - Ultraviolet dissipation and defect OPE in bottom-up holographic interfaces
AU  - Mianqi Wang
PY  - 2026
DA  - 2026/10/02
PB  - arXiv
DO  - 10.48550/arxiv.2610.02964
UR  - https://arxiv.org/abs/2610.02964
AB  - We study the radial ultraviolet dissipation quantity c_UV defined in arXiv:2601.16888v3 and defect OPE data in bottom-up holographic interfaces. We relate c_UV along with the defect primary spectrum and BOPE coefficients in the large defect dimension limit to the optical length ρ in the holographic bulk. In addition, we prove a new holographic bound for conformal interfaces relating entanglement entropy, energy transmission and UV dissipation: c_LR≥ 2c_eff/(2+π(c/c_UV−1)). This compliments the upper bound of c_LR by c_eff proved in arXiv:2404.01515.
ER  -