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Two-state spectral-free solutions of the Frenkel-Moore simplex equation

Two-state spectral-free solutions of the Frenkel-Moore simplex equation

Whilst many solutions have been found for the quantum Yang-Baxter equation (QYBE), there are fewer known solutions available for its higher dimensional generalizations: Zamolodchikov`s tetrahedron equation (ZTE) and Frenkel and Moore`s simplex equation (FME). In this paper, we present families of solutions to the FME which may help us to …