A matrix solution to pentagon equation with anticommuting variables

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.

References in corpus (2)

• Geometric torsions and an Atiyah-style topological field theory
• Geometric torsions and invariants of manifolds with triangulated boundary

Cited by in corpus (1)

• Relations in Grassmann Algebra Corresponding to Three- and Four-Dimensional Pachner Moves