Romans Supergravity from Five-Dimensional Holograms

TL;DR

This paper investigates five-dimensional superconformal field theories and their holographic duals, deriving central charges from both field theory and supergravity perspectives, confirming the duality and symmetry enhancement.

Contribution

It provides a detailed comparison of central charges from field theory and supergravity, offering analytic evidence for symmetry enhancement in 5D SCFTs.

Findings

Matching central charges from field theory and supergravity

Analytic evidence for symmetry enhancement in 5D SCFTs

Validation of holographic duality in five dimensions

Abstract

We study five-dimensional superconformal field theories and their holographic dual, matter-coupled Romans supergravity. On the one hand, some recently derived formulae allow us to extract the central charges from deformations of the supersymmetric five-sphere partition function, whose large N expansion can be computed using matrix model techniques. On the other hand, the conformal and flavor central charges can be extracted from the six-dimensional supergravity action, by carefully analyzing its embedding into type I' string theory. The results match on the two sides of the holographic duality. Our results also provide analytic evidence for the symmetry enhancement in five-dimensional superconformal field theories.