Super-Rényi Entropy & Wilson Loops for N=4 SYM and their Gravity Duals

Abstract

We compute the supersymmetric Rényi entropies across a spherical entanglement surface in N=4 SU(N) SYM theory using localization on the four-dimensional ellipsoid. We extract the leading result at large N and λ, and match its universal part to a gravity calculation involving a hyperbolically sliced supersymmetric black hole solution of N=4+ SU(2) X U(1) gauged supergravity in five dimensions. We repeat the analysis in the presence of a Wilson loop insertion and find again a perfect match with the dual string theory. Understanding the Wilson loop operator requires knowledge of the full ten-dimensional IIB supergravity solution which we elaborate upon.

30+1 pages, 1 table; minor corrections, references added; matches published version (JHEP)

References in corpus (7)

• Towards a derivation of holographic entanglement entropy
• Holographic c-theorems in arbitrary dimensions
• Seeing a c-theorem with holography
• Sphere Partition Functions and the Zamolodchikov Metric
• BPS Black Holes
• N = 4 Super-Yang-Mills on Conic Space as Hologram of STU Topological Black Hole
• Modular anomaly equations in N=2* theories and their large-N limit

Cited by in corpus (11)

• Supersymmetric Rényi Entropy in Five Dimensions
• The holographic supersymmetric Renyi entropy in five dimensions
• Thermodynamic Topology and Phase Space Analysis of AdS Black Holes Through Non-Extensive Entropy Perspectives
• Topological Insights into Black Hole Thermodynamics: Non-Extensive Entropy in CFT framework
• Non-extensive Entropy and Holographic Thermodynamics: Topological Insights
• Holographic Line Defects in $D=4$, $N=2$ Gauged Supergravity
• 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
• Phase structure of $\mathcal{N}=2^{\ast }$ SYM on ellipsoids
• Holographic supersymmetric Renyi entropies from hyperbolic black holes with scalar hair
• Rényi Entropy with Surface Defects in Six Dimensions