Towards integrable structure in 3d Ising model
Mathematical Physics
2018-05-14 v1 Combinatorics
math.MP
Abstract
We construct a weight matrix for the 3D Ising model satisfying the so-called twisted tetrahedron equation. The result is based on the theory of the n-simplicial complex and the invented recursion procedure on the space of n-simplex solutions in correspondences. The weight matrix reveals some properties intrinsic for the hypercube combinatorics.
Cite
@article{arxiv.1805.04138,
title = {Towards integrable structure in 3d Ising model},
author = {Dmitry V. Talalaev},
journal= {arXiv preprint arXiv:1805.04138},
year = {2018}
}
Comments
14 pages, 6 figures