$N^3$-behavior from 5D Yang-Mills theory

TL;DR

This paper derives the N^3 scaling of free energy in 5D maximally supersymmetric Yang-Mills theory at large t' Hooft coupling, comparing results with supergravity and exploring related models.

Contribution

It provides the first derivation of N^3 behavior for 5D SYM on S^5 and analyzes its relation to supergravity and extended models.

Findings

N^3 scaling of free energy at large coupling

Agreement with supergravity predictions

Extension to quiver and fundamental hypermultiplet models

Abstract

In this note we derive $N^3$-behavior at large t' Hooft coupling for the free energy of 5D maximally supersymmetric Yang-Mills theory on $S^5$. We also consider a $Z_k$ quiver of this model, as well as a model with $M$ hypermultiplets in the fundamental representation. We compare the results to the supergravity description and comment on their relation.