Abstract
We propose a closed formula of the universal part of supersymmetric Rényi 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 γ := 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 \( \frac{a}{c}\ge \frac{3}{7} \) implied by our result.
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Zhou, Y. Supersymmetric Rényi entropy and Weyl anomalies in six-dimensional (2,0) theories. J. High Energ. Phys. 2016, 64 (2016). https://doi.org/10.1007/JHEP06(2016)064
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DOI: https://doi.org/10.1007/JHEP06(2016)064