D_{n+1}^(2) Reflection K-matrices

Details D_{n+1}^(2) Reflection K-matrices D_{n+1}^(2) Reflection K-matrices

2001-04-25

arxiv.org/abs/nlin/0104062v1

Nucl.Phys.B612:446-460,2001

Nonlinear Sciences

Exactly Solvable and Integrable Systems

18 pages, Latex

Scientific paper

10.1016/S0550-3213(01)00345-5

We investigate the possible regular solutions of the boundary Yang-Baxter equation for the vertex models associated to the D_{n+1}^(2) affine Lie algebra. We have classified them in terms of three types of K-matrices. The first one have n+2 free parameters and all the matrix elements are non-null. The second solution is given by a block diagonal matrix with just one free parameter. It turns out that for n even there exists a third class of K-matrix withou free parameter.

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