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

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

2003-07-24

arxiv.org/abs/nlin/0307046v1

Nucl.Phys. B675 (2003) 661-684

Nonlinear Sciences

Exactly Solvable and Integrable Systems

22 pages, LaTex

Scientific paper

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 $A_{2n-1}^{(2)}$ 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.

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