Coideal Quantum Affine Algebra and Boundary Scattering of the Deformed Hubbard Chain
Mathematical Physics
2015-05-30 v2 High Energy Physics - Theory
math.MP
Quantum Algebra
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.
Keywords
Cite
@article{arxiv.1110.4596,
title = {Coideal Quantum Affine Algebra and Boundary Scattering of the Deformed Hubbard Chain},
author = {Marius de Leeuw and Takuya Matsumoto and Vidas Regelskis},
journal= {arXiv preprint arXiv:1110.4596},
year = {2015}
}
Comments
21 page. v2: minor corrections