Towards integrable structure in 3d Ising model

Dmitry V. Talalaev

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Towards integrable structure in 3d Ising model

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arxiv 1805.04138 v1 pith:C7XXZZP5 submitted 2018-05-10 math-ph math.COmath.MP

Dmitry V. Talalaev This is my paper · ORCID

classification math-phmath.COmath.MP

keywords isingmatrixmodelweightcombinatoricscomplexconstructcorrespondences

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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.

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