Yangian symmetry and bound states in AdS/CFT boundary scattering

TL;DR

This paper demonstrates that the boundary S-matrix for certain excitations in AdS/CFT boundary scattering exhibits Yangian symmetry, and uses this to determine the S-matrix for bound states, confirming its integrability.

Contribution

It establishes Yangian symmetry in boundary scattering and derives the bound state S-matrix, advancing understanding of integrability in AdS/CFT boundary conditions.

Findings

Boundary S-matrix has Yangian symmetry.

Derived boundary S-matrix for two-particle bound states.

Confirmed boundary Yang-Baxter equations are satisfied.

Abstract

We consider the problem of boundary scattering for Y=0 maximal giant graviton branes. We show that the boundary S-matrix for the fundamental excitations has a Yangian symmetry. We then exploit this symmetry to determine the boundary S-matrix for two-particle bound states. We verify that this boundary S-matrix satisfies the boundary Yang-Baxter equations.