AI 中文总结
该研究在五维各向异性背景下，用复极值曲面方法解析计算高温小各向异性极限下的HTEE，发现其虚部依赖于极值曲面取向，可用于诊断极值曲面与对偶场论各向异性自由度的耦合。
AI 中文摘要
我们研究五维各向异性背景下的全息类空纠缠熵（HTEE），该背景与强耦合各向异性等离子体对偶。利用复极值曲面方法，在高温、小各向异性极限$aT \ll 1$下解析计算HTEE。我们考虑边界类时间隔的两种不同取向：一种垂直于各向异性方向，另一种平行于各向异性方向。研究发现，HTEE的虚部并非几何的普适性质，而是敏感依赖于极值曲面相对于各向异性的取向。这表明由紫外对数发散产生的虚部是依赖于探针的量。我们的结果提示，HTEE的虚部可作为极值曲面与对偶场论各向异性自由度耦合的诊断工具。
英文摘要
We investigate the holographic timelike entanglement entropy (HTEE) in a five-dimensional anisotropic background, dual to a strongly coupled anisotropic plasma. Using the complex extremal surface method, we compute the HTEE analytically in the high-temperature, small-anisotropy limit $aT \ll 1$. We consider two different orientations of the boundary timelike interval: one perpendicular to the anisotropy direction and one parallel to it. We find that the imaginary part of the HTEE is not a universal property of the geometry but depends sensitively on the orientation of the extremal surface relative to the anisotropy. This demonstrates that the imaginary part arising from the UV logarithmic divergence is a probe-dependent quantity. Our results suggest that the imaginary part of HTEE can serve as a diagnostic of the coupling between the extremal surface and the anisotropic degrees of freedom of the dual field theory.
Comments9 pages, Typographical errors have been corrected
