$N^2$ entropy of 4D N=4 SYM

TL;DR

This paper uses localization techniques to demonstrate that the entropy of four-dimensional N=4 Super Yang-Mills theory scales with the square of the number of colors, N.

Contribution

It provides a novel derivation of the N^2 entropy scaling in 4D N=4 SYM using localization, confirming theoretical expectations.

Findings

Entropy scales as N^2 in 4D N=4 SYM.

Localization technique effectively computes entropy in supersymmetric theories.

Supports the holographic principle and gauge/gravity duality.

Abstract

We employ localization technique to derive $N^2$ entropy scaling of four dimensional N=4 SYM theory.