444 citations · 3.1k across the 111 of their papers we have counts for
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kappa-Deformed Oscillators: Deformed Multiplication Versus Deformed Flip Operator and Multiparticle Clusters
Jerzy Lukierski
We transform the oscillator algebra with kappa-deformed multiplication rule, proposed in [1],[2], into the oscillator algebra with kappa-deformed flip operator and standard multipl…
Purely twistorial string with canonical twistor field quantization
Sergey Fedoruk, Jerzy Lukierski
We introduce new purely twistorial scale-invariant action describing the composite bosonic D=4 Nambu-Goto string with target space parametrized by the pair of D=4 twistors. We show…
Kappa-deformed oscillators, the choice of star product and free kappa-deformed quantum fields
Marcin Daszkiewicz, Jerzy Lukierski, Mariusz Woronowicz
In order to obtain free kappa-deformed quantum fields (with c-number commutators) we proposed new concept of kappa-deformed oscillator algebra [1] and the modification of kappa-sta…
Once again about quantum deformations of D=4 Lorentz algebra: twistings of q-deformation
A. Borowiec, J. Lukierski, V. N. Tolstoy
This paper together with the previous one (arXiv:hep-th/0604146) presents the detailed description of all quantum deformations of D=4 Lorentz algebra as Hopf algebra in terms of co…
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…