发表机构
Institute for Advanced Study, Kyushu University; Department of Physics, Kyushu University; RIKEN Center for Interdisciplinary Theoretical and Mathematical Sciences (iTHEMS)（九州大学高等研究院; 九州大学物理系; 理化学研究所跨学科理论与数学科学中心(iTHEMS)）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该论文提出并验证了共形界面处纠缠容量系数不小于熵系数的猜想，并通过多种方法证明，同时表明容量可提供独立于熵的界面信息。
AI 中文摘要
我们猜想，在共形界面处，纠缠容量 $c_{\mathrm{cap}}$ 的普适对数系数以相应的熵系数 $c_{\mathrm{eff}}$ 为下界。我们在自由玻色子和费米子共形场论以及具有界面膜的全息模型中证明了该下界，并利用缺陷微扰理论确立了该下界。在三临界伊辛与伊辛共形场论之间的相互作用界面处的数值计算进一步支持了这一下界。尽管存在这一约束，容量仍提供了独立的界面数据。我们构造了具有相同熵和能量透射系数但不同容量系数的界面，并表明容量甚至可以在熵减小时增加。
英文摘要
We conjecture that the universal logarithmic coefficient for capacity of entanglement $c_{\mathrm{cap}}$ is bounded below by the corresponding entropy coefficient $c_{\mathrm{eff}}$ 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.
Comments18 pages, 8 figures
