Towards integrable structure in 3d Ising model
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- May 2018
- DOI:
- 10.48550/arXiv.1805.04138
- arXiv:
- arXiv:1805.04138
- Bibcode:
- 2018arXiv180504138T
- Keywords:
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- Mathematical Physics;
- Mathematics - Combinatorics;
- 82B20;
- 16T25
- E-Print:
- 14 pages, 6 figures