An Integrable Model with non-reducible three particle R-Matrix

J. Ambjorn, Sh. Khachatryan, A. Sedrakyan

Published 2004-03-19Version 1

We define an integrable lattice model which, in the notation of Yang, in addition to the conventional 2-particle $R$-matrices also contains non-reducible 3-particle $R$-matrices. The corresponding modified Yang-Baxter equations are solved and an expression for the transfer matrix is found as a normal ordered exponential of a (non-local) Hamiltonian.