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

Vidas Regelskis, Marius de Leeuw, Takuya Matsumoto

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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 co-ideal 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.
Original languageEnglish
Article number065205
Number of pages22
JournalJournal of Physics A: Mathematical and Theoretical
Issue number6
Publication statusPublished - 17 Feb 2012

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