Reflection $K$ matrices associated with an Onsager coideal of $U_p(A^{(1)}_{n-1})$, $U_p(B^{(1)}_n)$, $U_p(D^{(1)}_n)$ and $U_p(D^{(2)}_{n+1})$

Autor:	Kuniba, Atsuo, Okado, Masato, Yoneyama, Akihito
Rok vydání:	2019
Předmět:	Mathematical Physics Mathematics - Quantum Algebra Nonlinear Sciences - Exactly Solvable and Integrable Systems 17B37 17B80
Zdroj:	J. Phys. A: Math. Theor. 52 (2019) 375202 (27pp)
Druh dokumentu:	Working Paper
DOI:	10.1088/1751-8121/ab3715
Popis:	We determine the intertwiners of a family of Onsager coideal subalgebras of the quantum affine algebra $U_p(A^{(1)}_{n-1})$ in the fundamental representations and $U_p(B^{(1)}_{n}), U_p(D^{(1)}_{n}), U_p(D^{(2)}_{n+1})$ in the spin representations. They reproduce the reflection $K$ matrices obtained recently by the matrix product construction connected to the three dimensional integrability. In particular the present approach provides the first proof of the reflection equation for the non type $A$ cases. Comment: 20 pages, minor correction
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1904.05653 Zobrazit plný text záznamu View this record from Arxiv