A matrix solution of the pentagon equation with anticommuting variables |
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| Authors: | S I Bel’kov I G Korepanov |
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| Institution: | (1) Faculty of Applied Sciences, Vrije Universiteit Brüssel, Pleinlaan 2, 1050 Brussels, Belgium;(2) Faculty of Mathematics, University of Bucharest, Strada Academiei 14, 70109 Bucharest 1, Romania;(3) Institute of Mathematics, Fudan University, 200433 Shanghai, Republic of China |
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| Abstract: | 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. |
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