2 research outputs found
\kappa-deformations of D=4 Weyl and conformal symmetries
We provide first explicite examples of quantum deformations of D=4 conformal
algebra with mass-like deformation parameters, in applications to quantum
gravity effects related with Planck mass. It is shown that one of the classical
-matrices defined on the Borel subalgebra of with reality
conditions describes the light-cone -deformation of D=4 Poincar\'{e}
algebra. We embed this deformation into the three-parameter family of
generalized -deformations, with -matrices depending additionally on
the dilatation generator. Using the extended Jordanian twists framework we
describe these deformations in the form of noncocommutative Hopf algebra. We
describe also another four-parameter class of generalized
-deformations, which is obtained by continuous deformation of
distinguished -deformation of D=4 Weyl algebra, called here the
standard -deformation of Weyl algebra.Comment: LaTeX, 14 pages, corrected some typo