On quantum deformations of d=4 conformal algebra |
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Authors: | Andrzej Frydryszak Jerzy Lukierski Marek Mozrzymas Pierre Minnaert |
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Institution: | (1) Inst. for Theor. Physics, Univ. of Wrocaw, pl. Maksa Borna 9, 50-204 Wrocaw, Poland;(2) Laboratoire de Physique Théorique, Université Bordeaux I, 33-175 Gradignan, France |
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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 (-deformations) are described by classical r-matrices satisfying CYBE. |
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