89 citations · 171 across the 12 of their papers we have counts for
15 papers · 1 filter
New twisted quantum deformations of D=4 super-Poincare algebra
A. Borowiec, J. Lukierski, V. N. Tolstoy
We show how some classical r-matrices for the D=4 Poincare algebra can be supersymmetrized by an addition of part depending on odd supercharges. These r-matrices for D=4 super-Poin…
Enlarged NH symmetries: Particle Dynamics and Gauge Symmetries
Joaquim Gomis, Jerzy Lukierski
We show how the Newton-Hooke (NH) symmetries, representing a nonrelativistic version of de-Sitter symmetries, can be enlarged by a pair of translation vectors describing in Galilea…
Two-twistor Description of Membrane
Sergey Fedoruk, Jerzy Lukierski
We describe D=4 twistorial membrane in terms of two twistorial three-dimensional world volume fields. We start with the D-dimensional p-brane generalizations of two phase space str…
-Deformed Statistics and Classical Fourmomentum Addition Law
M. Daszkiewicz, J. Lukierski, M. Woronowicz
We consider -deformed relativistic symmetries described algebraically by modified Majid-Ruegg bicrossproduct basis and investigate the quantization of field oscillators for the…
Massive Particle Model with Spin from a Hybrid (spacetime-twistorial) Phase Space Geometry and Its Quantization
Sergey Fedoruk, Andrzej Frydryszak, Jerzy 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…
Acceleration-Extended Galilean Symmetries with Central Charges and their Dynamical Realizations
J. Lukierski, P. C. Stichel, W. J. Zakrzewski
We add to Galilean symmetries the transformations describing constant accelerations. The corresponding extended Galilean algebra allows, in any dimension , the introduction…