Entanglement entropy vs. free energy in IIB supergravity duals for 5d SCFTs

Abstract

We study entanglement entropy and the free energy in recently constructed holographic duals for 5d SCFTs in type IIB supergravity. The solutions exhibit mild singularities, which could potentially complicate holographic applications. We use the relation of the entanglement entropy for a spherical entangling surface to the free energy of the field theory on the five sphere as a well-motivated benchmark to assess how problematic the singularities are. The holographic supergravity computations give well-defined results for both quantities and they satisfy the expected relations. This supports the interpretation of the solutions as holographic duals for 5d SCFTs and gives first quantitative indications for the nature of the dual SCFTs.

arXiv comment25 pages, 3 figures

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• Warped $Ad{S}_6\times S^2$ in Type IIB supergravity II: Global solutions and five-brane webs
• Eigenstate Correlations, Thermalization and the Butterfly Effect
• Phases of 5d SCFTs from M-/F-theory on Non-Flat Fibrations
• Warped $Ad{S}_6\times S^2$ in Type IIB supergravity III: Global solutions with seven-branes
• Exact results for 5d SCFTs of long quiver type
• Precision test of AdS${}_6$/CFT${}_5$ in Type IIB
• Janus solutions in six-dimensional gauged supergravity
• AdS${}_7$/CFT${}_6$ with orientifolds
• Electrostatic Description of Five-dimensional SCFTs
• $Ad{S}_6$ T-duals and Type IIB $Ad{S}_6\times S^2$ Geometries with 7-Branes
• Wilson loops in 5d long quiver gauge theories
• Massive spin 2 excitations in $Ad{S}_6\times S^2$ warped spacetimes
• Type IIB 7-branes in warped $Ad{S}_6$: partition functions, brane webs and probe limit
• Black hole microstate counting in Type IIB from 5d SCFTs
• Mass deformations of 5d SCFTs via holography
• Electrostatic description of 3d $\mathcal{N}=4$ linear quivers
• Holographic description of SCFT${}_5$ compactifications
• AdS${}_6$/CFT${}_5$ with O7-planes
• Evidence for a 5d F-theorem
• Wrapped Brane Solutions in Romans $F(4)$ Gauged Supergravity
• New AdS${}_2$ backgrounds and $\mathcal{N}=4$ Conformal Quantum Mechanics
• Matrix Models and Holography: Mass Deformations of Long Quiver Theories in 5d and 3d
• Massive flows in AdS${}_6$/CFT${}_5$
• M-theory curves from warped AdS${}_6$ in Type IIB
• On minimal Type IIB $Ad{S}_6$ solutions with commuting 7-branes
• (p,q)-strings probing five-brane webs
• Non-integrability for $\mathcal{N}=1$ SCFTs in $5d$
• A Penrose limit for type IIB $Ad{S}_6$ solutions
• Relating AdS${}_6$ solutions in type IIB supergravity
• On the planar limit of 3d $T_{\rho }^{\sigma }[SU(N)]$
• AdS${}_6$ T-duals and AdS${}_6\times S^2$ geometries in Type IIB
• New AdS${}_3$/CFT${}_2$ pairs in massive IIA with $(0,4)$ and $(4,4)$ supersymmetries
• Non-Integrability of Strings in $Ad{S}_6\times S^2\times \Sigma$ Background and its 5D Holographic Duals