444 citations · 3.1k across the 111 of their papers we have counts for
9 papers · 1 filter
Higher Spin Particles with Bosonic Counterpart of Supersymmetry
Sergey Fedoruk, Jerzy Lukierski
We propose the relativistic point particle models invariant under the bosonic counterpart of SUSY. The particles move along the world lines in four dimensional Minkowski space exte…
Twisted Space-Time Symmetry, Non-Commutativity and Particle Dynamics
J. Lukierski, M. Woronowicz
We describe the twisted space-time symmetries which imply the quantum Poincaré covariance of noncommutative Minkowski spaces, with constant, Lie algebraic and quadratic commutators…
Exotic Galilean Conformal Symmetry and its Dynamical Realisations
J. Lukierski, P. C. Stichel, W. J. Zakrzewski
The six-dimensional exotic Galilean algebra in (2+1) dimensions with two central charges and , is extended when , to a ten-dimensional Galilean conformal algebra with d…
Extension of the Shirafuji model for Massive Particles with Spin
S. Fedoruk, A. Frydryszak, J. Lukierski +1
We extend the Shirafuji model for massless particles with primary spacetime coordinates and composite four-momenta to a model for massive particles with spin and electric charge. T…
On Twist Quantizations of D=4 Lorentz and Poincare Algebras
A. Borowiec, J. Lukierski, V. N. Tolstoy
We use the decomposition of o(3,1)=sl(2;C)_1\oplus sl(2;C)_2 in order to describe nonstandard quantum deformation of o(3,1) linked with Jordanian deformation of sl(2;C}. Using twis…
Massive relativistic particle model with spin from free two-twistor dynamics and its quantization
Jose A. de Azcarraga, Andrzej Frydryszak, Jerzy Lukierski +1
We consider a relativistic particle model in an enlarged relativistic phase space M^{18} = (X_μ, P_μ, η_α, \oeta_\dalpha, σ_α, \osigma_\dalpha, e, ϕ), which is derived from the fre…