Holographic R\'enyi entropy for two-dimensional N=(1,1) superconformal field theory

In this paper we investigate the holographic R'enyi entropy in $\mathcal N=1$supergravity(SUGRA)inAdS$_3$ spacetime, which is dual to the two-dimensional $\mathcal{N}=(1,1)$ 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 $T$, $\bar{T}$ and their superpartners $G$, $\bar{G}$. We find matches between SUGRA and SCFT results.