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

A. Lima-Santos·M. J. Martins
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Abstract

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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A. Lima-Santos, M. J. Martins. 2006-08-27. Solutions of the reflection equations for the $U_q[G_2]$ vertex model. https://doi.org/10.1016/j.nuclphysb.2006.09.023

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