Supersymmetric Renyi Entropy and Weyl Anomalies in Six-Dimensional (2,0) Theories

Understand

We propose a closed formula of the universal part of supersymmetric R\'enyi 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.