Exact results for 5d SCFTs of long quiver type

TL;DR

This paper derives exact analytical results for the free energies and central charges of 5d superconformal field theories with holographic duals, confirming supergravity predictions and extending previous numerical analyses.

Contribution

It provides exact solutions for matrix models of 5d SCFTs with long quiver structures, including theories with Chern-Simons terms, and verifies their consistency with supergravity.

Findings

Exact free energy expressions match supergravity predictions.

Solutions applicable to theories with N_f=2N and N_f≠2N nodes.

Results agree with previous numerical field theory analyses.

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 $N_f\neq 2N$ 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.