Infinite spin limit of semiclassical string states

TL;DR

This paper investigates the infinite spin limit of semiclassical string states in AdS5 x S5, showing that 1-loop corrections vanish and connecting string solutions with gauge theory via Bethe equations.

Contribution

It introduces a specific infinite spin limit for semiclassical strings and demonstrates the vanishing of quantum corrections, linking string and gauge theory descriptions.

Findings

1-loop superstring correction vanishes in the infinite spin limit

Explicit analysis of folded and circular 2-spin string solutions

Asymptotic form of string and gauge Bethe equations are equivalent

Abstract

Motivated by recent works of Hofman and Maldacena and Dorey we consider a special infinite spin limit of semiclassical spinning string states in AdS5 x S5. We discuss examples of known folded and circular 2-spin string solutions and demonstrate explicitly that the 1-loop superstring correction to the classical expression for the energy vanishes in the limit when one of the spins is much larger that the other. We also give a general discussion of this limit at the level of integral equations describing finite gap solutions of the string sigma model and argue that the corresponding asymptotic form of the string and gauge Bethe equations is the same.