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Quantum Deformation of the Poincare Supergroup and $kappa$-deformed Superspace

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 نشر من قبل ul
 تاريخ النشر 1994
  مجال البحث
والبحث باللغة English
 تأليف P. Kosi{n}ski




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The classical $r$-matrix for $N=1$ superPoincar{e} algebra, given by Lukierski, Nowicki and Sobczyk is used to describe the graded Poisson structure on the $N=1$ Poincar{e} supergroup. The standard correspondence principle between the even (odd) Poisson brackets and (anti)commutators leads to the consistent quantum deformation of the superPoincar{e} group with the deformation parameter $q$ described by fundamental mass parameter $kappa quad (kappa^{-1}=ln{q})$. The $kappa$-deformation of $N=1$ superspace as dual to the $kappa$-deformed supersymmetry algebra is discussed.



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