Holographic Rényi entropy for two-dimensional N = 1 , 1 N=(1,\;1) superconformal field theory

In this paper we investigate the holographic Rényi 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 , T̄ and their superpartners G, Ḡ . We find matches between SUGRA and SCFT results.