PreprintCoideal Quantum Affine Algebra and Boundary Scattering of the Deformed Hubbard ChainMarius de Leeuw, Takuya Matsumoto, Vidas RegelskisAbstractWe 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. Keywords: Quantum affine algebra, Coideal subalgebra, Deformed Hubbard chain, Boundary scattering.
This paper is available as a pdf (292kB) file.
|