QUANTUM DEFORMATIONS OF CONFORMAL ALGEBRAS INTRODUCING FUNDAMENTAL MASS PARAMETERS

We consider a new class of classical r-matrices for D = 3 and D = 4 co nformal Lie algebras. These r-matrices do satisfy the classical Yang-B axter equation and as two-tensors belong to the tensor product of Bore l subalgebra. In such a way we generalize the lowest order of known no nstandard quantum deformation of sl(2) to the Lie algebras sp(4) congr uent to so(5) and sl(4) congruent to so(6). As an exercise we interpre t nonstandard deformation of sl(2) as describing quantum D = 1 conform al algebra with fundamental mass parameter. Further we describe the D = 3 and D = 4 conformal bialgebras with deformation parameters equal t o the inverse of fundamental masses. It appears that for D = 4 the def ormation of the Poincare algebra sector coincides with ''null plane'' quantum Poincare algebra.