Supersymmetric Renyi Entropy in $CFT_2$ and $AdS_3$

Understand

We show that in any two dimensional conformal field theory with (2, 2) supersymmetry one can define a supersymmetric analog of the usual Renyi entropy of a spatial region A.

• It differs from the Renyi entropy by a universal function (which we compute) of the central charge, Renyi parameter n and the geometric parameters of A.
• In the limit $n \to1$ it coincides with the entanglement entropy.
• Thus, it contains the same information as the Renyi entropy but its computation only involves correlation functions of chiral and anti-chiral operators.