Supersymmetric Rényi Entropy in Five Dimensions

Abstract

We introduce supersymmetric Rényi entropies for $\mathcal{N}=1$ supersymmetric gauge theories in five dimensions. The matrix model representation is obtained using the localization method and the large-$N$ behavior is studied. The gravity dual is a supersymmetric charged topological AdS${}_6$ black hole in the Romans $F(4)$ supergravity. The variation of the supersymmetric Rényi entropy due to the insertion of a BPS Wilson loop is computed. We find perfect agreements between the large-$N$ and the dual gravity computations both with and without the Wilson loop operator.

27pages; v2 typos corrected; v3 minor improvements, to be published

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• Replica wormholes and capacity of entanglement
• Superconformal surfaces in four dimensions
• Precision test of AdS${}_6$/CFT${}_5$ in Type IIB
• Janus solutions in six-dimensional gauged supergravity
• Gauged Six-Dimensional Supergravity from Warped IIB Reductions
• Borel summability of perturbative series in 4d N=2 and 5d N=1 theories
• The holographic supersymmetric Renyi entropy in five dimensions
• Topological pseudo entropy
• ABJM on ellipsoid and topological strings
• Supersymmetric Renyi Entropy and Anomalies in Six-Dimensional (1,0) Superconformal Theories
• Romans Supergravity from Five-Dimensional Holograms
• Supersymmetric Renyi Entropy in $CF{T}_2$ and $Ad{S}_3$
• Supersymmetric Rényi entropy and charged hyperbolic black holes
• Mass deformations of 5d SCFTs via holography
• N=2 SUSY gauge theories on S^4
• Supersymmetric gauge theories on five-manifolds
• Supersymmetric Rényi Entropy in Two Dimensions
• Supersymmetric Renyi Entropy and Weyl Anomalies in Six-Dimensional (2,0) Theories
• Renyi Entropy of Free (2,0) Tensor Multiplet and its Supersymmetric Counterpart
• Supersymmetric Rényi Entropy and Defect Operators
• Entanglement Entropy of ABJM Theory and Entropy of Topological Black Hole
• Supersymmetric vortex defects in two dimensions
• Universal Features of Four-Dimensional Superconformal Field Theory on Conic Space
• Janus interface entropy and Calabi's diastasis in four-dimensional $\mathcal{N}=2$ superconformal field theories
• Super Yang-Mills on Branched Covers and Weighted Projective Spaces
• On-shell action and the Bekenstein-Hawking entropy of supersymmetric black holes in $Ad{S}_6$
• Holographic supersymmetric Renyi entropies from hyperbolic black holes with scalar hair
• Information Theoretic Inequalities as Bounds in Superconformal Field Theory
• From Weyl Anomaly to Defect Supersymmetric Rényi Entropy and Casimir Energy
• Shape Deformations of Charged Rényi Entropies from Holography