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Heisenberg double of supersymmetric algebras for noncommutative quantum field theory

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The ground work is laid for the construction of a Heisenberg superdouble in the form of a smash product of a standard Poincaré–Lie quantum-operator superalgebra with coalgebra and its double Lie spatial superalgebra with coalgebra, which are Hopf algebras and a Hopf modular algebra, respectively. Deformation of the superalgebras is realized by Drinfeld twists for the shift and supershift operators. As a result, an extended algebra is obtained, containing a non(anti)commutative superspace and quantum-group generators.

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Authors and Affiliations

  1. Perm’ Polytechnic University, Perm’, Russia

    V. S. Kirchanov

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  1. V. S. Kirchanov
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Correspondence to V. S. Kirchanov.

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 4, pp. 79–87, April, 2013.

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Kirchanov, V.S. Heisenberg double of supersymmetric algebras for noncommutative quantum field theory. Russ Phys J 56, 444–455 (2013). https://doi.org/10.1007/s11182-013-0054-0

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  • DOI: https://doi.org/10.1007/s11182-013-0054-0

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