The Bethe Ansatz for AdS5 x S5 Bound States

TL;DR

This paper reformulates the nested coordinate Bethe ansatz using Yangian symmetry coproducts to derive Bethe equations for bound states in AdS5 x S5, confirming their consistency with fusion methods.

Contribution

It introduces a Yangian symmetry-based reformulation of the nested Bethe ansatz for bound states, providing a new derivation of the Bethe equations.

Findings

Bethe equations match those from fusion procedures.

Bound state dependence appears only through specific parameters.

Reformulation simplifies understanding of bound state S-matrices.

Abstract

We reformulate the nested coordinate Bethe ansatz in terms of coproducts of Yangian symmetry generators. This allows us to derive the nested Bethe equations for the bound state string S-matrices. We find that they coincide with the Bethe equations obtained from a fusion procedure. The bound state number dependence in the Bethe equations appears through the parameters x^{\pm} and the dressing phase only.