Bethe Ansatz in Stringy Sigma Models

TL;DR

This paper derives the exact S-matrix and Bethe ansatz solutions for three integrable sigma-models related to string theory in AdS(5)xS(5), providing insights into their quantum integrability structures.

Contribution

It presents the first exact S-matrix and Bethe ansatz solutions for three specific stringy sigma-models, advancing understanding of their integrable properties.

Findings

Exact S-matrix for Landau-Lifshitz model

Bethe ansatz solutions for Alday-Arutyunov-Frolov model

Integrability structures of Faddeev-Reshetikhin model

Abstract

We compute the exact S-matrix and give the Bethe ansatz solution for three sigma-models which arise as subsectors of string theory in AdS(5)xS(5): Landau-Lifshitz model (non-relativistic sigma-model on S(2)), Alday-Arutyunov-Frolov model (fermionic sigma-model with su(1|1) symmetry), and Faddeev-Reshetikhin model (string sigma-model on S(3)xR).