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

TY - JOUR

T1 - Coideal Quantum Affine Algebra and Boundary Scattering of the Deformed Hubbard Chain

AU - Regelskis, Vidas

AU - de Leeuw, Marius

AU - Matsumoto, Takuya

PY - 2012/2/17

Y1 - 2012/2/17

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84856530619&partnerID=8YFLogxK

U2 - 10.1088/1751-8113/45/6/065205

DO - 10.1088/1751-8113/45/6/065205

M3 - Article

VL - 45

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

IS - 6

M1 - 065205

ER -