Two-Parameter Deformation of the Poincaré Algebra

  title={Two-Parameter Deformation of the Poincar{\'e} Algebra},
  author={Allen Stern and Igor Yakushin},
  journal={International Journal of Modern Physics A},
  • A. Stern, I. Yakushin
  • Published 11 January 1996
  • Physics, Mathematics
  • International Journal of Modern Physics A
We examine a two-parameter (ℏ,λ) deformation of the Poincare algebra which is covariant under the action of SLq(2,C). When λ → 0 it yields the Poincare algebra, while in the ℏ → 0 limit we recover the classical quadratic algebra discussed previously in Refs. 1 and 2. The analogues of the Pauli–Lubanski vector w and Casimirs p2 and w2 are found and a set of mutually commuting operators is constructed. 
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