Semiclassical OPE coefficients from 3D gravity
Semiclassical OPE coefficients from 3D gravity
复制标题
来自 3D 重力的半经典 OPE 系数
DOI：
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发表时间：
2016
期刊：
影响因子：
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通讯作者：
Ying
中科院分区：
文献类型：
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作者：
Chi;Ying
通过取融合核的半经典极限，我们给出了对所有具有“弱”光谱的二维CFT通用的半经典OPE系数的封闭形式表达式。我们将这与在具有三个圆锥缺陷的几何上评估的适当的正则化和归一化的整体作用相匹配，分析地继续在超出具有正签名的度规存在的范围的亏角中继续。解析连续几何在最重的锥形缺陷周围有一个余维一坐标奇点。这个奇点在威克旋转到洛伦兹签名后变成了视界，这表明普适性和视界的存在之间存在联系。
We present a closed form expression for the semiclassical OPE coefficients that are universal for all 2D CFTs with a "weak" light spectrum, by taking the semiclassical limit of the fusion kernel. We match this with a properly regularized and normalized bulk action evaluated on a geometry with three conical defects, analytically continued in the deficit angles beyond the range for which a metric with positive signature exists. The analytically continued geometry has a codimension-one coordinate singularity surrounding the heaviest conical defect. This singularity becomes a horizon after Wick rotating to Lorentzian signature, suggesting a connection between universality and the existence of a horizon.