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

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

2011-10-20

arxiv.org/abs/1110.4596v2

J.Phys.A A45 (2012) 065205

Physics

Mathematical Physics

21 page. v2: minor corrections

Scientific paper

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.

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