


Conformal Bootstrap to Rényi Entropy in 2D Liouville and SuperLiouville CFTs 
CAS Key Laboratory of Theoretical Physics  Institute of Theoretical Physics  Chinese Academy of Sciences  Seminar  Title 题目  Conformal Bootstrap to Rényi Entropy in 2D Liouville and SuperLiouville CFTs  Speaker 报告人  何松  Affiliation 所在单位  Max Planck Institute for Gravitational Physics (Albert Einstein Institute)  Date 日期  2017116 14:30  Venue 地点  Room 6420, ITP New Building  Abstract 摘要  We mainly study the R\'enyi entanglement entropy (REE) of the states excited by local operators in two dimensional irrational conformal field theories (CFTs), especially in Liouville field theory (LFT) and $\mathcal{N}=1$ super Liouville field theory (SLFT). In particular, we consider the excited states obtained by acting on the vacuum with primary operators. These states can be divided into three classes in LFT and SLFT. We show that the 2nd REE of such local excited states becomes divergent in early and late time limits. Choosing a target state and reference state in the same class, the variation of REE between target and reference states can be well defined. The difference of such variation of REE between in early and late time limit always coincides with the log of the ratio of fusion matrix element between target states and reference states. Furthermore, we also study the locally excited states by acting generic descendent operators on the vacuum and the difference of variation of REE will be sum of the log of the ratio of the fusion matrix element and some additional normalization factors. Because the identity operator does not live in Hilbert space of LFT and SLFT, we found that all these properties are quite different from those of excited states in 1+1 dimensional rational CFTs.  Contact Person 所内联系人  郭宗宽  


