Solutions of the reflection equations for the $U_q[G_2]$ vertex model

Details Solutions of the reflection equations for the $U_q[G_2]$ vertex model Solutions of the reflection equations for the $U_q[G_2]$ vertex model

2006-08-27

arxiv.org/abs/nlin/0608063v1

Nucl.Phys.B760:184-196,2007

Nonlinear Sciences

Exactly Solvable and Integrable Systems

18 pages

Scientific paper

10.1016/j.nuclphysb.2006.09.023

We investigate the possible regular solutions of the boundary Yang-Baxter equation for the fundamental $U_q[G_2]$ vertex model. We find four distinct classes of reflection matrices such that half of them are diagonal while the other half are non-diagonal. The latter are parameterized by two continuous parameters but only one solution has all entries non-null. The non-diagonal solutions do not reduce to diagonal ones at any special limit of the free-parameters.

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