分类: 物理学 >> 普通物理:统计和量子力学,量子信息等 提交时间: 2017-11-10
摘要: We investigate the holographic R´enyi entropy for two-dimensional N = (2, 2) superconformal field theory (SCFT), which is dual to N = 2 supergravity in AdS3 background. In SCFT we have the stress tensor,current, and their supersymmetric partners, and in supergravity we have the graviton, vector field, and two gravitinos. We get the R´enyi mutual information of two short intervals on complex plane in expansion by the cross ratio x to order x4, and R´enyi entropy of one interval on torus in expansion by q = exp(−2 /L), with being the inverse temperature and L being the spatial period, to order q2. We calculate in both the supergravity and SCFT sides, and find matches of the results.