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

Yang Zhou

doi:10.1007/jhep06(2016)064

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arXiv · 1512.03008

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

Yang Zhou

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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 ${a\over c}\geq {3\over 7}$ implied by our result.

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BibTeX RIS

Yang Zhou. 2015-12-09. Supersymmetric Renyi Entropy and Weyl Anomalies in Six-Dimensional (2,0) Theories. https://doi.org/10.1007/jhep06(2016)064

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