AI 中文总结
研究超共形RG界面的缺陷对球形区域纠缠熵的贡献，利用全息对偶提取截止无关贡献$\mathcal{C}^I$，量化其对超对称质量变形的依赖性，还与相关量联系，给出多于二维时该纠缠量的全息计算。
AI 中文摘要
我们研究了以四维超共形RG界面为中心的球形区域纠缠熵的缺陷贡献。这些界面是超对称余维一缺陷，分隔了Leigh--Strassler SCFT真空和由空间变化质量项变形的$\mathcal{N}=4$ SYM理论。利用这些界面的全息对偶，提取了纠缠熵的截止无关界面贡献$\mathcal{C}^I$。量化了$\mathcal{C}^I$对超对称质量变形的非平凡依赖性，观察到大变形时的标度 regime。还将$\mathcal{C}^I$与界面理论的重整化在位作用和应力张量单点函数联系起来。我们的结果首次给出了超共形RG界面在多于二维情况下这种纠缠量的完全反作用全息计算。
英文摘要
We study the defect contribution to the entanglement entropy of a spherical region centred on four-dimensional superconformal RG interfaces. These interfaces are supersymmetric codimension one defects separating the Leigh--Strassler SCFT vacuum and the $\mathcal{N}=4$ SYM theory deformed by spatially varying mass terms. Exploiting the holographic dual to these interfaces, we extract a cutoff-independent interface contribution to the entanglement entropy, $\mathcal{C}^I$. We quantify the non-trivial dependence of $\mathcal{C}^I$ on the supersymmetric mass deformation, and observe a scaling regime for large deformations. We further relate $\mathcal{C}^I$ to the renormalized on-shell action and the stress-tensor one-point function of the interface theory. Our results provide the first fully backreacted holographic computation of this entanglement quantity for superconformal RG interfaces in more than two dimensions.
Comments35 pages, 8 figures
