全息共形界面在一般维度中的能量传输
Energy Transmission Across Holographic Conformal Interfaces in General Dimensions
- KU Leuven（荷语鲁汶大学）
- Holon Institute of Technology（霍隆理工学院）
- Université Paris Cité（巴黎西岱大学）
- Ben-Gurion University of the Negev（内盖夫本-古里安大学）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本研究利用引力全息推导了高维共形界面能量传输系数的闭式公式，证明了其与入射角及扰动轮廓无关，并给出了由中心荷类量控制的界限，填补了高维无CFT结果的空白。
AI中文摘要：
在二维时空中共形界面的能量输运具有普适性，但其高维对应物在很大程度上尚未被探索。在高维中，散射可能依赖于额外的运动学数据，如入射角，且共形对称性的限制远不那么严格。我们利用引力全息来研究这一问题。对于一大类AdS$_d$切片畴壁几何，我们推导出能量传输系数的闭式表达式，该表达式以体翘曲因子表示。我们的公式再现了已知的二维全息结果，并将其推广到任意维度。在这一类中，我们确立了高维普适性的不同方面。特别是，我们证明了传输与入射角和入射扰动的轮廓无关。我们还推导了由中心荷类量控制的传输界限，这些量表征界面两侧理论的自自由度数量。这为高维中共形界面的反射和传输提供了第一个明确结果，而目前尚无基于CFT的结果可用。
英文摘要：
Energy transport across conformal interfaces is universal in two spacetime dimensions, but its higher-dimensional counterpart has remained largely unexplored. In higher dimensions, scattering can depend on additional kinematic data, such as the angle of incidence, and conformal symmetry is far less restrictive. We use gravitational holography to study this problem. For a broad class of AdS$_d$-sliced domain-wall geometries, we derive a closed-form expression for the energy transmission coefficient in terms of the bulk warp factor. Our formula reproduces known two-dimensional holographic results and extends them to arbitrary dimension. Within this class, we establish different aspects of higher-dimensional universality. In particular, we show that the transmission is independent of the incidence angle and of the profile of the incident perturbation. We also derive bounds on transmission controlled by central-charge-like quantities characterizing the number of degrees of freedom of the theories on the two sides of the interface. This provides the first explicit result for reflection and transmission across conformal interfaces in higher dimensions, where no CFT-based results are currently available.
