The high spin expansion of twist sector dimensions: the planar N=4 super Yang-Mills theory

TL;DR

This paper reviews the high spin expansion of anomalous dimensions in planar N=4 super Yang-Mills theory, emphasizing integrability methods and their broader applicability to gauge theories.

Contribution

It compiles recent results on the high spin expansion of twist operator dimensions using integrability, highlighting its generality beyond this specific sector.

Findings

High spin expansion formulas for anomalous dimensions

Integrability techniques applicable to gauge theories

Potential generalization to other sectors

Abstract

This review is devoted to collecting some results on the high spin expansion of (minimal) anomalous dimension. Thanks to the recent rationale on integrability, planar ${\cal N}=4$ super Yang-Mills theory (or its $\text{AdS}_5\times\text{S}^5$ string counterpart) represents a very practicable field. Here the attention will be restricted to its sector of twist operators, although the analysis tools are quite general (in integrable theories). Some structures and ideas turn out to be general also for other sectors or gauge theories.