Coideal Quantum Affine Algebra and Boundary Scattering of the Deformed   Hubbard Chain
  We consider boundary scattering for a semi-infinite one-dimensional deformed Hubbard chain with boundary conditions of the same type as for the Y=0 giant graviton in the AdS/CFT correspondence. We show that the recently constructed quantum affine algebra of the deformed Hubbard chain has a coideal subalgebra which is consistent with the reflection (boundary Yang-Baxter) equation. We derive the corresponding reflection matrix and furthermore show that the aforementioned algebra in the rational limit specializes to the (generalized) twisted Yangian of the Y=0 giant graviton. 
Marius de Leeuw, Takuya Matsumoto, Vidas Regelskis
math-ph hep-th math.MP math.QA