English

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

High Energy Physics - Theory 2009-10-28 v1 Quantum Algebra q-alg

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.

Keywords

Cite

@article{arxiv.hep-th/9510010,
  title  = {Two-State Spectral-Free Solutions of Frenkel-Moore Simplex Equation},
  author = {L. C. Kwek and C. H. Oh and K. Singh and K. Y. Wee},
  journal= {arXiv preprint arXiv:hep-th/9510010},
  year   = {2009}
}

Comments

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