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arxiv: nlin/0307046 · v1 · pith:AU6XVZ6Gnew · submitted 2003-07-24 · 🌊 nlin.SI · hep-th

C_(n)⁽¹⁾, D_(n)⁽¹⁾ and A_(2n-1)⁽²⁾ reflection K-matrices

classification 🌊 nlin.SI hep-th
keywords solutionsaffinealgebrasassociatedboundarycasesdiagonalequation
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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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