Universal blocks of the AdS/CFT Scattering Matrix

TL;DR

This paper reveals universal R-matrix structures within the AdS/CFT scattering matrix, providing explicit formulas that unify bound state scattering descriptions using Yangian algebra representations.

Contribution

It introduces a universal R-matrix framework for certain AdS/CFT S-matrix blocks, connecting them to Yangian doubles and deriving explicit formulas.

Findings

Explicit R-matrix formulas match previous S-matrix results.

Universal structure simplifies understanding of bound state scattering.

Yangian algebra provides a unifying mathematical framework.

Abstract

We identify certain blocks in the S-matrix describing the scattering of bound states of the AdS5 x S5 superstring that allow for a representation in terms of universal R-matrices of Yangian doubles. For these cases, we use the formulas for Drinfeld's second realization of the Yangian in arbitrary bound-state representations to obtain the explicit expressions for the corresponding R-matrices. We then show that these expressions perfectly match with the previously obtained S-matrix blocks.