q-deformed superconformal algebra on quantum superspace

Tatsuo Kobayashi; Tsuneo Uematsu

doi:10.1016/0370-2693(93)91132-7

q-deformed superconformal algebra on quantum superspace

High Energy Physics - Theory 2009-10-22 v1

Authors: Tatsuo Kobayashi , Tsuneo Uematsu

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Abstract

A quantum deformation of 4-dimensional superconformal algebra realized on quantum superspace is investigated. We study the differential calculus and the action of the quantum generators corresponding to $sl_q(1|4)$ which act on the quantum superspace. We derive deformed $su(1|2,2)$ algebras from the deformed $sl(1|4)$ algebra. Through a contraction procedure we obtain a deformed super-Poincar{\'e} algebra.

Keywords

deformation quantization quantum algebra lie algebras and representations

Cite

@article{arxiv.hep-th/9302064,
  title  = {q-deformed superconformal algebra on quantum superspace},
  author = {Tatsuo Kobayashi and Tsuneo Uematsu},
  journal= {arXiv preprint arXiv:hep-th/9302064},
  year   = {2009}
}

Comments

11 pages, KUCP-56, LaTeX file

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