$N^3$ entropy of M5 branes from dielectric effect

TL;DR

This paper demonstrates that the characteristic N^3 entropy of near-extremal M5 branes can be derived from a SYM perspective by incorporating Myers' terms, linking supergravity solutions with gauge theory computations.

Contribution

It generalizes the Klebanov-Tseytlin supergravity solution to reveal internal degrees of M5 branes and connects this to a D0 brane quantum mechanics model with Myers' terms, explaining the N^3 entropy.

Findings

Supergravity solution exhibits N^3 entropy behavior.

Localization shows classical contribution dominates free energy.

Internal degrees of M5 branes are visible in the generalized solution.

Abstract

We observe that the $N^3$ entropy behavior of near-extermal M5 branes can be reproduced from SYM side with the role of Myers' terms. We start by generalizing the Klebanov-Tseytlin (KT) supergravity solution that displays the $N^3$ entropy behavior. The new feature of the general solution is visibility of the "internal" degrees of the M5 branes, i.e., the M0 branes and the M2 branes. With the rationale provided by the supergravity analysis, we consider a D0 brane quantum mechanical setup with Myers' terms. Using localization technique, we show that the leading $N^3$ behavior of the free energy comes from the "classical contribution" with the rest sub-leading.