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arXiv · 0910.2082

A matrix solution to pentagon equation with anticommuting variables

S. I. Bel'kov·I. G. Korepanov
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Abstract

We construct a solution to pentagon equation with anticommuting variables living on two-dimensional faces of tetrahedra. In this solution, matrix coordinates are ascribed to tetrahedron vertices. As matrix multiplication is noncommutative, this provides a "more quantum" topological field theory than in our previous works.

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S. I. Bel'kov, I. G. Korepanov. 2009-10-12. A matrix solution to pentagon equation with anticommuting variables. https://doi.org/10.1007/s11232-010-0066-7

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