Renyi entropy in AdS3/CFT2

The recent study of Renyi entropy opens a new window to study the AdS(3)/CFT2 correspondence. Here we review the latest developments in this area. In particular, we focus on the computations of the Renyi entropy in the cases of two short disjoint intervals on a complex plane and one single interval on a torus. We also discuss the large interval limit of the latter case and propose a new expansion framework in the CFT computation and a new set of monodromy conditions in the holographic computation.