Exact results for 5d SCFTs of long quiver type

Abstract

Exact results are derived for 5d SCFTs with holographic duals in Type IIB supergravity. These theories have relevant deformations that flow to linear quiver gauge theories, with the number of nodes large in the large-$N$ limits described by supergravity. Starting from a suitable formulation of the matrix models resulting from supersymmetric localization of the squashed $S^5$ partition functions, the saddle point equations are solved for generic quivers with $N_f=2N$ at all interior nodes, which includes the $T_N$ theories, and for a sample of theories with $N_f\ne 2N$ nodes including theories with Chern-Simons terms. The resulting exact expressions for the free energies and conformal central charges are consistent with supergravity predictions and, where available, with previous numerical field theory analyses.

34 pages, 4 figures

References in corpus (15)

• Classical Polylogarithms for Amplitudes and Wilson Loops
• Webs of five-branes and N=2 superconformal field theories
• Tinkertoys for Gaiotto Duality
• AdS_6 solutions of type II supergravity
• Lifting 4d dualities to 5d
• Warped $Ad{S}_6\times S^2$ in Type IIB supergravity III: Global solutions with seven-branes
• Entanglement entropy vs. free energy in IIB supergravity duals for 5d SCFTs
• Mass-deformed $T_N$ as a linear quiver
• Janus solutions in six-dimensional gauged supergravity
• Supersymmetric gauge theories on squashed five-spheres and their gravity duals
• The gravity dual of supersymmetric gauge theories on a squashed five-sphere
• Rank-3 antisymmetric matter on 5-brane webs
• Supersymmetric AdS${}_7$ and AdS${}_6$ vacua and their consistent truncations with vector multiplets
• Comments on Squashed-sphere Partition Functions
• (p,q)-strings probing five-brane webs

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