A matrix solution to pentagon equation with anticommuting variables

Details A matrix solution to pentagon equation with anticommuting variables A matrix solution to pentagon equation with anticommuting variables

2009-10-12

arxiv.org/abs/0910.2082v1

Theor. Math. Phys. 163:3, 819-830 (2010)

Physics

Mathematical Physics

Scientific paper

10.1007/s11232-010-0066-7

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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