Twist deformations of κ-Poincaré algebra

Abstract

Possible twist deformations of κ -Poincare algebra are considered. In the list of solutions r κ + r to the MCYBE the additional terms r are restricted to those that do not change the Schouten bracket of r κ and have the carrier in the Euclidean subalgebra with time translation. For all such solutions the corresponding multiparametric twisting elements F are found in the explicit form, the ( r κ + r )-matrices are thus quantized. Having the explicit expressions F we can construct the deformed * -products and study the possible deformations of space-time coordinate functions algebra.