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

TL;DR

This paper tests the AdS$_6$/CFT$_5$ duality by comparing supergravity predictions with field theory calculations of sphere partition functions, finding exact agreement in large N limits and thus supporting the duality.

Contribution

It provides a precise numerical comparison between holographic supergravity results and field theory computations for five-dimensional SCFTs, confirming the duality.

Findings

Supergravity and field theory sphere partition functions match in large N limit.

Numerical localization confirms the duality predictions.

Results support the validity of AdS$_6$/CFT$_5$ correspondence.

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.