Classical conformal blocks via AdS/CFT correspondence
Classical conformal blocks via AdS/CFT correspondence
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通过 AdS/CFT 对应的经典共形块
DOI：
10.1007/jhep08(2015)049
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发表时间：
2015
影响因子：
5.4
通讯作者：
V. Belavin
中科院分区：
文献类型：
--
作者：
K. Alkalaev;V. Belavin
我们继续发展的全息解释经典的共形块的粒子传播在一个渐近AdS 3几何。本文研究了n-点块体中的两个重场和n-2个轻场。使用世界线方法，我们提出并明确描述了相应的体组态，它由n-3个粒子在重场产生的锥形缺陷背景中传播组成。我们在五个点的情况下测试这个一般图像。利用Virasoro共形块的特殊组合表示，我们计算了5点经典块，并找到了与体世界线作用量的精确对应。特别是，体积分析依赖于特殊的微扰程序，将5点的情况下，作为变形的4点的情况下。
We continue to develop the holographic interpretation of classical conformal blocks in terms of particles propagating in an asymptotically AdS 3 geometry. We study n-point block with two heavy and n− 2 light fields. Using the worldline approach we propose and explicitly describe the corresponding bulk configuration, which consists of n− 3 particles propagating in the conical defect background produced by the heavy fields. We test this general picture in the case of five points. Using the special combinatorial representation of the Virasoro conformal block we compute 5-point classical block and find the exact correspondence with the bulk worldline action. In particular, the bulk analysis relies upon the special perturbative procedure which treats the 5-point case as a deformation of the 4-pt case.