AdS/CFT中Synge恒等式的全息对偶
Holographic Dual of Synge's Identity in AdS/CFT
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中文总结 AI 辅助
该研究确定了任意维有限AdS测地线Synge恒等式的CFT对应物，推导了相关标度方程，其二维形式退化为已知的纠缠RG方程，属于AdS/CFT框架下的全息对应研究。
中文摘要 AI 辅助
我们确定了任意维有限AdS测地线的Synge恒等式的CFT对应物。从精确的体-边界有限配对出发，Synge方程诱导出Weyl标量两点函数及不相交球间有限纠缠熵的端点标度方程。在平面标架中，公共标度关联子方程是dilatation Ward恒等式；在纠缠领域，对应的相对标度方程由横向双曲面积控制，在二维中退化为此前已确定的纠缠RG方程。
英文摘要
We identify CFT counterparts of Synge's identity for finite AdS geodesics in arbitrary dimensions. Starting from exact finite bulk--boundary pairs, the Synge equation induces endpoint scale equations for a Weyl-frame scalar two-point function and for the finite entanglement entropy between disjoint balls. In the planar frame, the common-scale correlator equation is the dilatation Ward identity. In the entanglement sector, the corresponding relative-scale equation is governed by a transverse hyperbolic area and reduces in two dimensions to the previously identified entanglement RG equation.
