The S-matrix of the AdS5 x S5 superstring

TL;DR

This paper reviews the scattering theory of strings on AdS5 x S5, deriving the S-matrix for bound states using Yangian symmetry, and employs Bethe ansatz to analyze the energy spectrum.

Contribution

It explicitly derives the S-matrix for bound states in AdS5 x S5 superstring theory using Yangian symmetry, advancing understanding of integrable structures.

Findings

Derived the S-matrix for arbitrary bound states.

Analyzed algebraic properties of the S-matrix.

Computed the energy spectrum using Bethe ansatz.

Abstract

In this article we review the world-sheet scattering theory of strings on AdS 5 x S5. The asymptotic spectrum of this world-sheet theory contains both fundamental particles and bound states of the latter. We explicitly derive the S-matrix that describes scattering of arbitrary bound states. The key feature that enables this derivation is the so-called Yangian symmetry which is related to the centrally extended su(2|2) superalgebra. Subsequently, we study the universal algebraic properties of the found S-matrix. As in many integrable models, the S-matrix plays a key role in the determination of the energy spectrum. In this context, we employ the Bethe ansatz approach to compute the large volume energy spectrum of string bound states.