A matrix solution to pentagon equation with anticommuting variables
Mathematical Physics
2010-11-23 v1 Algebraic Topology
math.MP
Exactly Solvable and Integrable Systems
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.
Keywords
Cite
@article{arxiv.0910.2082,
title = {A matrix solution to pentagon equation with anticommuting variables},
author = {S. I. Bel'kov and I. G. Korepanov},
journal= {arXiv preprint arXiv:0910.2082},
year = {2010}
}