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

Autor(es)

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

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: Journal of Physics A-Mathematical and Theoretical; v. 51, n. 39 SEP 28 2018.
• Citações Web of Science: 1

Resumo

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)

• Processo FAPESP: 16/50023-5 - Temperley-Lieb spin chains
• Beneficiário: Antonio Lima Santos
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 17/02987-8 - Novos desenvolvimentos em cadeias quânticas de spin
• Beneficiário: Rodrigo Alves Pimenta
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado