Abstract
A new Spin (7) invariant R-matrix is found by solving the Yang-Baxter factorization equation. The solution contains the Spin (7) invariant tensor C abcd which is essentially given by the structure constants of the octonion multiplication table. By imposing unitarity, crossing invariance and analyticity, we obtain two minimal S-matrices, one of which possesses bound states of mass √2 m. In addition, the new R-matrix defines an integrable multistate vertex-model.
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