Spinning strings and AdS/CFT duality

TL;DR

This paper reviews semiclassical string states in AdS_5 x S^5 with energy expansions in integer powers, providing insights into the AdS/CFT duality and integrable structures in string and gauge theories.

Contribution

It introduces a class of semiclassical string states with regular energy expansions, enabling quantitative tests of AdS/CFT duality beyond supersymmetric sectors.

Findings

Validated the duality in non-supersymmetric sectors

Uncovered the role of integrable structures in string and gauge theories

Provided a framework for precise energy calculations in semiclassical strings

Abstract

We review a special class of semiclassical string states in AdS_5 x S^5 which have a regular expansion of their energy in integer powers of the ratio of the square of string tension (`t Hooft coupling) and the square of large angular momentum in S^5. They allow one to quantitatively check the AdS/CFT duality in non-supersymmetric sector of states and also help to uncover the role of integrable structures on the two sides of the string theory -- gauge theory duality.