The SU(2) sector in AdS/CFT

TL;DR

This paper investigates the SU(2) sector in N=4 Super Yang-Mills theory within the AdS/CFT framework, revealing small mixings at strong coupling that challenge the previously assumed closure of the sector.

Contribution

It provides evidence of small mixings in the SU(2) sector at strong coupling, contradicting the all-order closure in perturbation theory.

Findings

Small mixings appear at second order in /L^2 expansion.

Contradicts the presumed closure of the SU(2) sector at strong coupling.

Evidence from semiclassical string currents supports these findings.

Abstract

In the large N limit of N=4 Super Yang-Mills, the mixing under dilatations of the SU(2) sector, single trace operators composed of L complex scalar fields of two types, is closed to all orders in perturbation theory. By relying on the AdS/CFT correspondence, and by examining the currents for semiclassical strings, we present evidence which implies that there are small mixings that contradict the closure of the SU(2) sector in the strong coupling limit. These mixings first appear to second order in the \lambda/L^2 expansion.