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κ-Deformation of (Super)Poincaré Algebra

In: Mathematical Physics X

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  • J. Lukierski

    (University of Wroclaw, Institute of Theoretical Physics)

Abstract

The notion of quantum groups and quantum algebras (see e.g. ref. [1]-[6]) can be used in order to study the deformations of space-time symmetries as well as their supersymmetric extensions. In order to obtain the quantum deformation of semisimple Lie algebras describing Minkowski or Euclidean group of motions mostly the contraction techniques have been used. In particular there were obtained: a) quantum deformation of D = 2 and D = 3 Euclidean and Minkowski geometries, described as quantum Lie algebra or quantum Lie group [7], [8] b) quantum deformation of D = 4 Poincaré algebra [9], [10] c) quantum deformations of D = 2 supersymmetry algebra in its Minkowski as well as its Euclidean version [11]–[13].

Suggested Citation

  • J. Lukierski, 1992. "κ-Deformation of (Super)Poincaré Algebra," Springer Books, in: Konrad Schmüdgen (ed.), Mathematical Physics X, pages 274-280, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-77303-7_22
    DOI: 10.1007/978-3-642-77303-7_22
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