Note on non-vacuum conformal family contributions to Rényi entropy in two-dimensional CFT

• 来源期刊: 中国物理C（英文版）
• 年，卷（期）: 2017,（6）
• 页码范围: 46-55
• 页数: 10页
• 语种: 英文
• DOI: 10.1088/1674-1137/41/6/063103

摘要

We calculate the contributions of a general non-vacuum conformal family to Rényi entropy in twodimensional conformal field theory (CFT).The primary operator of the conformal family can be either non-chiral or chiral,and we denote its scaling dimension by △.For the case of two short intervals on a complex plane,we expand the Rényi mutual information by the cross ratio x to order x2△+2.For the case of one interval on a torus with low temperature,we expand the Rényi entropy by q =exp(-2πβ/L),with β being the inverse temperature and L being the spatial period,to order q△+2.To make the result meaningful,we require that the scaling dimension △ cannot be too small.For two intervals on a complex plane we need △ ＞ 1,and for one interval on a torus we need △ ＞ 2.We work in the small Newton constant limit on the gravity side and so a large central charge limit on the CFT side,and find matches of gravity and CFT results.