A matrix solution of the pentagon equation with anticommuting variables

作者：Bel'kov S I^*; Korepanov I G

来源：Theoretical and Mathematical Physics, 2010, 163(3): 819-830.

DOI：10.1007/s11232-010-0066-7

• pentagon equation
• topological quantum field theory
• algebraic complex
• torsion

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

• 出版日期2010-6