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A matrix solution of the pentagon equation with anticommuting variables

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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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Authors and Affiliations

  1. South Ural State University, Chelyabinsk, Russia

    S. I. Bel’kov & I. G. Korepanov

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  1. S. I. Bel’kov
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  2. I. G. Korepanov
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Correspondence to S. I. Bel’kov.

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Bel’kov, S.I., Korepanov, I.G. A matrix solution of the pentagon equation with anticommuting variables. Theor Math Phys 163, 819–830 (2010). https://doi.org/10.1007/s11232-010-0066-7

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  • DOI: https://doi.org/10.1007/s11232-010-0066-7

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