## Coideal Quantum Affine Algebra and Boundary Scattering of the Deformed Hubbard Chain

### Marius de Leeuw, Takuya Matsumoto, Vidas Regelskis

#### Abstract

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.

Keywords: Quantum affine algebra, Coideal subalgebra, Deformed Hubbard chain, Boundary scattering.

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 Friday, October 21, 2011