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.

25 pages, 3 figures

References in corpus (5)

• Towards a derivation of holographic entanglement entropy
• Webs of five-branes and N=2 superconformal field theories
• AdS_6 solutions of type II supergravity
• Supersymmetric gauge theories on squashed five-spheres and their gravity duals
• The gravity dual of supersymmetric gauge theories on a squashed five-sphere

Cited by in corpus (13)

• Warped $Ad{S}_6\times S^2$ in Type IIB supergravity III: Global solutions with seven-branes
• Janus solutions in six-dimensional gauged supergravity
• Electrostatic Description of Five-dimensional SCFTs
• Electrostatic description of 3d $\mathcal{N}=4$ linear quivers
• Holographic description of SCFT${}_5$ compactifications
• 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${}_5$
• (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
• Non-Integrability of Strings in $Ad{S}_6\times S^2\times \Sigma$ Background and its 5D Holographic Duals
• New AdS${}_3$/CFT${}_2$ pairs in massive IIA with $(0,4)$ and $(4,4)$ supersymmetries