2015/12/09 by Yang Zhou · 1 citation
Physics and Astronomy · Mathematics · #hep-th #cond-mat.stat-mech #math-ph #math.MP #quant-ph
paper · pdf · doi:10.1007/jhep06(2016)064
published as JHEP 1606:064,2016 · 30 pages+1 table
arxiv created 2015/12/09 · arxiv updated 2016/06/13
We propose a closed formula of the universal part of supersymmetric Rényi entropy Sq for (2,0) superconformal theories in six-dimensions. We show that Sq 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 Sq can be written as a linear combination of 't Hooft anomaly coefficients. We discuss a possible lower bound a\over c≥ 3\over 7 implied by our result.