Supersymmetric Renyi entropy and Weyl anomalies in six-dimensional (2,0)

We propose a closed formula of the universal part of supersymmetric Renyi entropy S-q for (2, 0) superconformal theories in six-dimensions. We show that S-q across a spherical entangling surface is a cubic polynomial of gamma : 1/q, with all coefficients expressed in terms of the newly discovered Weyl anomalies a, and c. This is equivalent to a similar statement of the supersymmetric free energy on conic (or squashed) six-sphere. We first obtain the closed formula by promoting the free tensor multiplet result and then provide an independent derivation by assuming that S-q can be written as a linear combination of 't Hooft anomaly coefficients. We discuss a possible lower bound a/c >= 3/7 implied by our result.