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

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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, T and their superpartners G, G. We find matches between SUGRA and SCFT results.