Higher-Loop Integrability in N=4 Gauge Theory

TL;DR

This paper reviews algebraic methods for constructing the dilatation operator in N=4 gauge theory, revealing new integrable spin chain models and discussing discrepancies in the AdS/CFT correspondence with potential resolutions.

Contribution

It introduces novel integrable spin chain models derived from algebraic methods and addresses discrepancies in the AdS/CFT correspondence.

Findings

Discovery of new integrable spin chain models in planar N=4 gauge theory

Identification of superficial discrepancy in AdS/CFT correspondence

Proposed possible resolutions to the discrepancy

Abstract

The dilatation operator measures scaling dimensions of local operator in a conformal field theory. Algebraic methods of constructing the dilatation operator in four-dimensional N=4 gauge theory are reviewed. These led to the discovery of novel integrable spin chain models in the planar limit. Making use of Bethe ansaetze, a superficial discrepancy in the AdS/CFT correspondence was found, we discuss this issue and give a possible resolution.