$C_{n}^{(1)}$, $D_{n}^{(1)}$ and $A_{2n-1}^{(2)}$ reflection K-matrices

A. Lima-Santos; R. Malara

doi:10.1016/j.nuclphysb.2003.09.037

paper

$C_{n}^{(1)}$ , $D_{n}^{(1)}$ and $A_{2 n - 1}^{(2)}$ reflection K-matrices

arXiv:nlin/0307046 · doi:10.1016/j.nuclphysb.2003.09.037

Abstract

We investigate the possible regular solutions of the boundary Yang-Baxter equation for the vertex models associated with the $C_{n}^{(1)}$ , $D_{n}^{(1)}$ and $A_{2 n - 1}^{(2)}$ affine Lie algebras. We find three types of solutions with $n$ , $n - 1$ and 1 free parameters,respectively. Special cases and all diagonal solutions are presented separately.

22 pages, LaTex

Cn(1)​, Dn(1)​ and A2n−1(2)​ reflection K-matrices

Abstract

$C_{n}^{(1)}$ , $D_{n}^{(1)}$ and $A_{2 n - 1}^{(2)}$ reflection K-matrices