2011/10/31 by Marius de Leeuw, Takuya Matsumoto, Vidas Regelskis
Mathematics · Physics and Astronomy · #Affine transformation #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Boundary (topology) #Chain (unit) #Homotopy and Cohomology in Algebraic Topology #Hubbard model #Limit (mathematics) #Quantum affine algebra #Reflection (computer programming) #Scattering #Type (biology) #Yangian #hep-th #math-ph #math.MP #math.QA
paper · pdf · doi:10.1088/1751-8113/45/6/065205
published as J.Phys.A A45 (2012) 065205 · 21 page. v2: minor corrections
openalex publication_date 2012/01/19 · arxiv created 2012/03/22 · arxiv updated 2015/05/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
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.