A dynamic su(1|1)^2 S-matrix for AdS3/CFT2

TL;DR

This paper derives a unique S-matrix for the AdS3/CFT2 integrable model with su(1|1)^2 symmetry, incorporating previously overlooked magnon interactions and constraining scalar factors via crossing relations.

Contribution

It introduces a new, complete S-matrix for the AdS3/CFT2 spin-chain with su(1|1)^2 symmetry, including mixed-mass magnon scattering and scalar factor constraints.

Findings

Derived the S-matrix for the d(2,1;alpha)^2 symmetric spin-chain.

Identified non-trivial magnon scattering processes between different masses.

Constrained scalar factors using crossing symmetry.

Abstract

We derive the S-matrix for the d(2,1;alpha)^2 symmetric spin-chain of AdS3/CFT2 by considering the centrally extended su(1|1)^2 algebra acting on the spin-chain excitations. The S-matrix is determined uniquely up to four scalar factors, which are further constrained by a set of crossing relations. The resulting scattering includes non-trivial processes between magnons of different masses that were previously overlooked.