New Dn+1(2) K-matrices with quantum group symmetry. (30th August 2018)

• Record Type: Journal Article
• Authors: Nepomechie, Rafael I; Pimenta, Rodrigo A
• Is Part Of: Journal of physics. Volume 51:Number 39(2018)
• Publication Date: 2018-08-30
• Subjects: boundary Yang–Baxter equation -- quantum group -- integrable quantum spin chains; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8121/aad957
• Languages: English
• ISSNs: 1751-8113

Abstract

Abstract: We propose new families of solutions of the boundary Yang–Baxter equation. The open spin-chain transfer matrices constructed with these K-matrices have quantum group symmetry corresponding to removing one node from the Dynkin diagram, namely, , where . These transfer matrices also have a duality symmetry. These symmetries help to account for the degeneracies in the spectrum of the transfer matrix.