缺角空间和弯曲测地线的AdS/CFT公式
AdS/CFT prescription for angle-deficit space and winding geodesics
摘要：
我们提出了边界两点相关器的全息计算使用GKPW处方的标量场的AdS $_3$空间中的锥形缺陷。一般来说，在对偶理论中，锥形缺陷破坏了共形不变性，而我们计算了含锥形缺陷体中标量场的经典格林函数，并将其用于计算边界理论中的两点相关器。我们比较所得到的一般表达式与以前的研究的基础上测地线近似。它们在短相关性上是一致的，而主要的差异出现在长相关性区域。同时，在$\mathbb{Z}_r$ -orbifold情形下，GKPW的结果与测地像处方的结果一致，与边界理论的一般结果一致，在这种特殊情形下是共形的.
英文摘要：
We present the holographic computation of the boundary two-point correlator using the GKPW prescription for a scalar field in the AdS$_3$ space with a conical defect. Generally speaking, a conical defect breaks conformal invariance in the dual theory, however we calculate the classical Green functions for a scalar field in the bulk with conical defect and use them to compute the two-point correlator in the boundary theory. We compare the obtained general expression with previous studies based on the geodesic approximation. They are in good agreement for short correlators, and main discrepancy comes in the region of long correlations. Meanwhile, in case of $\mathbb{Z}_r$-orbifold, the GKPW result coincides with the one obtained via geodesic images prescription and with the general result for the boundary theory, which is conformal in this special case.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
