Asymptotic Bethe Ansatz from String Sigma Model on S^3 x R

TL;DR

This paper derives the asymptotic Bethe ansatz equations for strings on S^3 x R in AdS_5 x S^5, linking them to an integrable spin chain model, and clarifies their role as an effective approximation.

Contribution

It provides a derivation of the AFS equations from the string sigma model's spin chain, highlighting their status as an effective description within a more fundamental inhomogeneous spin chain.

Findings

AFS equations derived from the string sigma model.

AFS equations are an effective model, not fundamental.

Connection established between string theory and integrable spin chains.

Abstract

We derive the asymptotic Bethe ansatz (AFS equations) for the string on S^3 x R sector of AdS_5 x S^5 from the integrable nonhomogeneous dynamical spin chain for the string sigma model proposed in GKSV. It is clear from the derivation that AFS equations can be viewed only as an effective model describing a certain regime of a more fundamental inhomogeneous spin chain.