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PreprintCC BY 4.0arXiv

Entanglement Requires Fluctuations at Conformal Interfaces

  • Yuya Kusuki
  • Kosei Suzuyama
  • Yin Tang
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Abstract

We conjecture that the universal logarithmic coefficient for capacity of entanglement ccap is bounded below by the corresponding entropy coefficient ceff at conformal interfaces. We prove the bound in free boson and fermion CFTs and in holographic models with interface branes, and establish it using defect perturbation theory. Numerical calculations at interacting interfaces between the tricritical Ising and Ising CFTs further support the bound. Despite this constraint, capacity provides independent interface data. We construct interfaces with identical entropy and energy transmission coefficients but different capacity coefficients, and show that capacity can even increase as entropy decreases.

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Cite

BibTeXRIS
BibTeX
@misc{kusuki2026entanglement,
  title = {{Entanglement Requires Fluctuations at Conformal Interfaces}},
  author = {Yuya Kusuki and Kosei Suzuyama and Yin Tang},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.02309},
  eprint = {2610.02309},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.02309},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Entanglement Requires Fluctuations at Conformal Interfaces
AU  - Yuya Kusuki
AU  - Kosei Suzuyama
AU  - Yin Tang
PY  - 2026
DA  - 2026/10/01
PB  - arXiv
DO  - 10.48550/arxiv.2610.02309
UR  - https://arxiv.org/abs/2610.02309
AB  - We conjecture that the universal logarithmic coefficient for capacity of entanglement c_cap is bounded below by the corresponding entropy coefficient c_eff at conformal interfaces. We prove the bound in free boson and fermion CFTs and in holographic models with interface branes, and establish it using defect perturbation theory. Numerical calculations at interacting interfaces between the tricritical Ising and Ising CFTs further support the bound. Despite this constraint, capacity provides independent interface data. We construct interfaces with identical entropy and energy transmission coefficients but different capacity coefficients, and show that capacity can even increase as entropy decreases.
ER  -