Renyi Entropy of Free (2,0) Tensor Multiplet and its Supersymmetric Counterpart

Abstract

We compute the Renyi entropy and the supersymmetric Renyi entropy for the six-dimensional free (2,0) tensor multiplet. We make various checks on our results, and they are consistent with the previous results about the (2,0) tensor multiplet. As a by-product, we have established a canonical way to compute the Renyi entropy for p-form fields in d-dimensions.

arXiv comment1+16 pages

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• Replica wormholes and capacity of entanglement
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• Supersymmetric Renyi Entropy and Weyl Anomalies in Six-Dimensional (2,0) Theories
• Hyperbolic cylinders and entanglement entropy: gravitons, higher spins, $p$-forms
• Partition functions of higher derivative conformal fields on conformally related spaces
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• Dynamical Edge Modes in $p$-form Gauge Theories
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• Rényi Entropy with Surface Defects in Six Dimensions
• Holographic supersymmetric Renyi entropies from hyperbolic black holes with scalar hair
• Partition functions of $p$-forms from Harish-Chandra characters
• Abelian M5-brane on $S_q^6$
• Information Theoretic Inequalities as Bounds in Superconformal Field Theory
• From Weyl Anomaly to Defect Supersymmetric Rényi Entropy and Casimir Energy