arXiv subjects

R. Malara

Publications and source records attributed to R. Malara.

2 recordsLinked to original sources

arXiv2006

On $A_{n-1}^{(1)},B_{n}^{(1)}, C_{n}^{(1)}, D_{n}^{(1)},A_{2n}^{(2)}, A_{2n-1}^{(2)}$ and $D_{n+1}^{(2)}$ Reflection $K$-Matrices

We present the classification of the most general regular solutions to the boundary Yang-Baxter equations for vertex models associated with non-exceptional affine Lie algebras. Reduced solutions found by applying a limit procedure to the general solutions are discussed. We also present the list of diagonal $K$-matrices. Special cases are considered separately.

nlin.SI↗

arXiv2003

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

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.

nlin.SI↗