Two-State Spectral-Free Solutions of Frenkel-Moore Simplex Equation
L.C. Kwek, C.H. Oh, K. Singh, K.Y. Wee
TL;DR
This paper introduces new families of solutions to the Frenkel-Moore Simplex Equation, a higher-dimensional generalization of the Quantum Yang-Baxter Equation, aiding understanding of complex quantum algebraic structures.
Contribution
It provides the first known spectral-free solutions to the FME, expanding the set of tools for studying higher-dimensional quantum integrable systems.
Findings
New spectral-free solutions to FME
Enhanced understanding of higher-dimensional quantum equations
Potential applications in quantum algebra and integrable models
Abstract
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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