Dn+1(2) reflection K-matrices

Reflection K-Matrices

n and A (2) 2n reflection K-matrices

K-Matrices, and D(2) n+1 Reflection

00 2 A ( 1 ) n − 1 Reflection K - Matrices

We investigate the possible regular solutions of the boundary Yang-Baxter equation for the vertex models associated with the A (1) n−1 affine Lie algebra. We have classified them in two classes of solutions. The first class consists of n(n − 1)/2 K-matrix solutions with three free parameters. The second class are solutions that depend on the parity of n. For n odd there exist n reflection K-mat...

Fusion of SO(N) reflection matrices

We examine the reflection matrix acting on the SO(N) vector multiplet and fuse it to obtain that acting on the rank two particle multiplet, and give its decomposition.