New D-n+1((2)) K-matrices with quantum group symmetry

Author(s)

Nepomechie, Rafael I. ^[1] ; Pimenta, Rodrigo A. ^[2]

Affiliation

^[1] Univ Miami, Phys Dept, POB 248046, Coral Gables, FL 33124 - USA

^[2] Univ Sao Paulo, Inst Fis Sao Carlos, Caixa Postal 369, BR-13566590 Sao Carlos, SP - Brazil

• Document type: Journal article
• Source: Journal of Physics A-Mathematical and Theoretical; v. 51, n. 39 SEP 28 2018.
• Web of Science Citations: 1

Abstract

We propose new families of solutions of the D-n+1((2)) 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 D-n+1((2)) Dynkin diagram, namely, U-q(Bn-p) circle times U-q(B-p), where p = 0, ..., n. These transfer matrices also have a p <--> n - p duality symmetry. These symmetries help to account for the degeneracies in the spectrum of the transfer matrix. (AU)

• FAPESP's process: 16/50023-5 - Temperley-Lieb spin chains
• Grantee: Antonio Lima Santos
• Support Opportunities: Regular Research Grants
• FAPESP's process: 17/02987-8 - New developments in quantum spin chains
• Grantee: Rodrigo Alves Pimenta
• Support Opportunities: Scholarships in Brazil - Post-Doctoral