PreprintCoideal Quantum Affine Algebra and Boundary Scattering of the Deformed Hubbard ChainMarius de Leeuw, Takuya Matsumoto, Vidas RegelskisAbstractWe consider boundary scattering for a semiinfinite onedimensional 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 YangBaxter) 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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