English

Parafermions in the tau-2 model

Mathematical Physics 2014-08-06 v5 math.MP

Abstract

It has been shown recently by Baxter that the τ2(tq)\tau_2(t_q) model with open boundary conditions can be solved by the "parafermionic" method of Fendley. In Baxter's paper there are several conjectures, which were formulated based on numerical short-chain calculations. Here we present the proof of two of them.

Cite

@article{arxiv.1402.0061,
  title  = {Parafermions in the tau-2 model},
  author = {Helen Au-Yang and Jacques H. H. Perk},
  journal= {arXiv preprint arXiv:1402.0061},
  year   = {2014}
}

Comments

21 pages, 1figure; uses iopart.cls with the iopams, amssymb and graphicx packages; also uses overunderset.sty (provided). vs 2: Explanations added and errors corrected, vs 3: More explanations added including Appendix B, vs 4: Expanded Appendix B, vs 5: Reference and links added

R2 v1 2026-06-22T02:59:02.659Z