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Quantum deformedsu(m/n) algebra and superconformal algebra on quantum superspace

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Abstract

We study a deformedsu(m/n) algebra on a quantum superspace. Some interesting aspects of the deformed algebra are shown. As an application of the deformed algebra we construct a deformed superconformal algebra. From the deformedsu(1/4) algebra, we derive deformed Lorentz, translation of Minkowski space,iso(2, 2) and its supersymmetric algebras as closed subalgebras with consistent automorphisms.

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Fellow of the Japan Society for the Promotion of Science. Work partially supported by the Grant-in-Aid for Scientific Research from the Ministry of Education, Science and Culture (#030083)

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Kobayashi, T. Quantum deformedsu(m/n) algebra and superconformal algebra on quantum superspace. Z. Phys. C - Particles and Fields 60, 101–109 (1993). https://doi.org/10.1007/BF01650435

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Keywords

  • Field Theory
  • Elementary Particle
  • Quantum Field Theory
  • Particle Acceleration
  • Minkowski Space