Precision test of AdS${}_6$/CFT${}_5$ in Type IIB

Abstract

Large classes of warped AdS${}_6$ solutions were constructed recently in Type IIB supergravity, and identified as holographic duals for five-dimensional superconformal field theories realized by $(p,q)$ five-brane webs. We confront holographic results for the five sphere partition functions obtained from these solutions with computations for the putative dual field theories. We obtain the sphere partition functions and conformal central charges in gauge theory deformations of the superconformal field theories numerically using supersymmetric localization, and extrapolate the results to the conformal fixed points. In the appropriate large $N$ limits, the results match precisely to the supergravity computations, providing strong support for the proposed dualities.

arXiv comment30 pages, 6 figures

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• Phases of 5d SCFTs from M-/F-theory on Non-Flat Fibrations
• Exact results for 5d SCFTs of long quiver type
• 1/4 BPS AdS${}_3$/CFT${}_2$
• Electrostatic Description of Five-dimensional SCFTs
• Supersymmetric AdS${}_7$ and AdS${}_6$ vacua and their consistent truncations with vector multiplets
• $Ad{S}_6$ T-duals and Type IIB $Ad{S}_6\times S^2$ Geometries with 7-Branes
• Wilson loops in 5d long quiver gauge theories
• Black hole microstate counting in Type IIB from 5d SCFTs
• Electrostatic description of 3d $\mathcal{N}=4$ linear quivers
• Surface defects in holographic 5d SCFTs
• Holographic description of SCFT${}_5$ compactifications
• Partition functions on slightly squashed spheres and flux parameters
• 4d F(4) gauged supergravity and black holes of class $\mathcal{F}$
• Consistent truncations of supergravity and $\frac{1}{2}$-BPS RG flows in $4d$ SCFTs
• Evidence for a 5d F-theorem
• 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
• Holography for 2d $\mathcal{N}=(0,4)$ quantum field theory
• Renormalized AdS gravity and holographic entanglement entropy of even-dimensional CFTs
• Exploring the orthosymplectic zoo
• Non-integrability in AdS${}_3$ vacua
• Massive flows in AdS${}_6$/CFT${}_5$
• Topologically twisted index of $T[SU(N)]$ at large $N$
• M-theory curves from warped AdS${}_6$ in Type IIB
• Phases of five-dimensional supersymmetric gauge theories
• On minimal Type IIB $Ad{S}_6$ solutions with commuting 7-branes
• Wilson loops for 5d and 3d conformal linear quivers
• 3d defects in 5d: RG flows and defect F-maximization
• Supersymmetric probes in warped $Ad{S}_6$
• Generalized quotients and holographic duals for 5d S-fold SCFTs
• Spin-$2$ operators in AdS${}_2$/CFT${}_1$
• A Penrose limit for type IIB $Ad{S}_6$ solutions
• Relating AdS${}_6$ solutions in type IIB supergravity
• Twisted compactifications and conformal defects from ISO(3)xU(1) F(4) gauged supergravity
• Uplifting supersymmetric $Ad{S}_6$ black holes to type II supergravity
• Solving $\mathcal{N}=4$ SYM BCFT matrix models at large $N$
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• Holographic RG flows and Janus interfaces from ISO(3)xU(1) F(4) gauged supergravity
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