Rényi entropy of a free (2, 0) tensor multiplet and its supersymmetric counterpart

Abstract

We compute the R\'enyi entropy and the supersymmetric R\'enyi entropy for the six-dimensional free (2, 0) tensor multiplet. We make various checks on our results, and they are consistent with the previous results about the (2, 0) tensor multiplet. As a by-product, we have established a canonical way to compute the R\'enyi entropy for $p$-form fields in $d$-dimensions.