The First Thirty Years of Large-N Gauge Theory

TL;DR

This paper reviews three decades of progress in large-N gauge theory, covering topics like multicolor QCD, matrix models, loop equations, and the AdS/CFT correspondence, highlighting key developments and their implications.

Contribution

It provides a comprehensive overview of major theoretical advancements in large-N gauge theory since 1974, connecting various approaches and concepts.

Findings

Development of multicolor QCD understanding

Advances in matrix models and loop equations

Insights into AdS/CFT correspondence

Abstract

I review some developments in the large-N gauge theory since 1974. The main attention is payed to: multicolor QCD, matrix models, loop equations, reduced models, 2D quantum gravity, free random variables, noncommutative theories, AdS/CFT correspondence.