Supergravitons from one loop perturbative N=4 SYM

TL;DR

This paper calculates the one-loop partition function of 1/16 BPS operators in N=4 SYM at weak coupling and finds it matches exactly with the partition function of supergravitons in AdS_5xS^5, revealing a detailed gauge/gravity correspondence.

Contribution

It provides the first explicit computation of the weak coupling partition function of 1/16 BPS operators and demonstrates its exact match with supergravity predictions.

Findings

Partition function differs from zero coupling case.

Exact match with supergravity supergraviton gas.

Supports gauge/gravity duality at the quantum level.

Abstract

We determine the partition function of 1/16 BPS operators in N=4 SYM at weak coupling at the one-loop level in the planar limit. This partition function is significantly different from the one computed at zero coupling. We find that it coincides precisely with the partition function of a gas of 1/16 BPS `supergravitons' in AdS_5xS^5.