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arXiv · 1110.4596

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

Marius de Leeuw·Takuya Matsumoto·Vidas Regelskis
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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.

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BibTeXRIS

Marius de Leeuw, Takuya Matsumoto, Vidas Regelskis. 2011-10-20. Coideal Quantum Affine Algebra and Boundary Scattering of the Deformed Hubbard Chain. https://doi.org/10.1088/1751-8113/45/6/065205

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