Holographic R閚yi entropy for two-dimensional $ \mathcalN=\left(1,\;1\right) $ superconformal field theory

摘要: In this paper we investigate the holographic R\'enyi entropy in N=1 supergravity (SUGRA) in AdS3 spacetime, which is dual to the two-dimensional N=(1,1) superconformal field theory (SCFT). We consider both cases of two short intervals on a line with zero temperature and one interval on a circle with low temperature. In SUGRA side we consider contributions of both graviton and gravitino, and in SCFT side we consider contributions of both stress tensor T, ̄T and their superpartners G, ̄G We find matches between SUGRA and SCFT results.