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

A. Lima-Santos; R. Malara

doi:10.1016/j.nuclphysb.2003.09.037

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arXiv · nlin/0307046

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

A. Lima-Santos·R. Malara

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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 $A_{2n-1}^{(2)}$ 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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A. Lima-Santos, R. Malara. 2003-07-24. $C_{n}^{(1)}$, $D_{n}^{(1)}$ and $A_{2n-1}^{(2)}$ reflection K-matrices. https://doi.org/10.1016/j.nuclphysb.2003.09.037

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