# Twisted Space-Time Symmetry, Non-Commutativity and Particle Dynamics

Research paper by J. Lukierski, M. Woronowicz

Indexed on: 05 Dec '05Published on: 05 Dec '05Published in: High Energy Physics - Theory

#### Abstract

We describe the twisted space-time symmetries which imply the quantum Poincar\'{e} covariance of noncommutative Minkowski spaces, with constant, Lie algebraic and quadratic commutators. Further we present the relativistic and nonrelativistic particle models invariant respectively under twisted relativistic and twisted Galilean symmetries.