Electrostatic Description of Five-dimensional SCFTs

Abstract

In this paper we discuss an infinite class of AdS${}_6$ backgrounds in Type IIB supergravity dual to five dimensional SCFTs whose low energy description is in terms of linear quiver theories. The quantisation of the Page charges imposes that each solution is determined once a convex, piece-wise linear function is specified. In the dual field theory, we interpret this function as encoding the ranks of colour and flavour groups in the associated quiver. We check our proposal with several examples and provide general expressions for the holographic central charge and the Wilson loop VEV. Some solutions outside this general class, with less clear quiver interpretation, are also discussed.

arXiv comment25 pages plus various and generous appendices

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Cited by in corpus (12)

• Electrostatic description of 3d $\mathcal{N}=4$ linear quivers
• Holographic description of SCFT${}_5$ compactifications
• Matrix Models and Holography: Mass Deformations of Long Quiver Theories in 5d and 3d
• Massive flows in AdS${}_6$/CFT${}_5$
• Wilson loops for 5d and 3d conformal linear quivers
• Generalized quotients and holographic duals for 5d S-fold SCFTs
• Non-integrability for $\mathcal{N}=1$ SCFTs in $5d$
• Spin-$2$ operators in AdS${}_2$/CFT${}_1$
• Magnetic quivers from brane webs with O7${}^{+}$-planes
• Non-supersymmetric AdS${}_6$ and the swampland
• Non-Integrability of Strings in $Ad{S}_6\times S^2\times \Sigma$ Background and its 5D Holographic Duals
• Holographic duals of $\mathcal{N}=1$ quivers in 5d and their nonrelativistic limits