Two-State Spectral-Free Solutions of Frenkel-Moore Simplex Equation

Physics – High Energy Physics – High Energy Physics - Theory

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LaTeX file. Require macros: cite.sty and subeqnarray.sty to process. To appear in J. Phys. A: Math. and Gen

Scientific paper

10.1088/0305-4470/28/23/028

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 FME which may help us to understand more about higher dimensional generalization of QYBE.

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