Friday, March 23, 2012

1110.4596 (Marius de Leeuw et al.)

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

Marius de Leeuw, Takuya Matsumoto, Vidas Regelskis
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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