ON QUANTUM DEFORMATIONS OF d=4 CONFORMAL ALGEBRA*)**)

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Abstract

Three classes of classical ℛ-matrices for sl(4, C) algebra are constructed in quasi-Frobenius algebra approach. They satisfy CYBE and are spanned respectively on 8,10,12 generators. The o(4, 2) reality condition can be imposed only on the eight dimensional r-matrices with dimension-full deformation parameters. Contrary to the Poincaré algebra case, it appears that all deformations with a mass-like deformation parameter (κ-deformations) are described by classical r-matrices satisfying CYBE.

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