77 citations · 298 across the 22 of their papers we have counts for
22 papers
Quantum deformations of Euclidean, Lorentz, Kleinian and quaternionic symmetries in unified setting -- Addendum
A. Borowiec, J. Lukierski, V. N. Tolstoy
In our previous paper we obtained a full classification of nonequivalent quasitriangular quantum deformations for the complex Euclidean Lie symmetry $\mathfrak{o}(4;\mathbb{C…
Quantum deformations of D=4 Euclidean, Lorentz, Kleinian and quaternionic o^*(4) symmetries in unified o(4;C) setting
A. Borowiec, J. Lukierski, V. N. Tolstoy
We employ new calculational technique and present complete list of classical -matrices for complex homogeneous orthogonal Lie algebra , the rot…
Two-twistor particle models and free massive higher spin fields
J. A. de Azcarraga, S. Fedoruk, J. M. Izquierdo +1
We present D=3 and D=4 models for massive particles moving in a new type of enlarged spacetime, with D-1 additional vector coordinates, which after quantization lead to the towers…
New class of quantum deformations of D=4 Euclidean supersymmetry
A. Borowiec, J. Lukierski, M. Mozrzymas +1
We present the class of deformations of simple Euclidean superalgebra, which describe the supersymmetrization of some Lie algebraic noncommutativity of D=4 Euclidean space-time. Th…
N=1/2 Deformations of Chiral Superspaces from New Quantum Poincare and Euclidean Superalgebras
A. Borowiec, J. Lukierski, M. Mozrzymas +1
We present a large class of supersymmetric classical r-matrices, describing the supertwist deformations of Poincare and Euclidean superalgebras. We consider in detail new family of…
Nonrelativistic counterparts of twistors and the realizations of Galilean conformal algebra
S. Fedoruk, P. Kosinski, J. Lukierski +1
Using the notion of Galilean conformal algebra (GCA) in arbitrary space dimension d, we introduce for d=3 quantized nonrelativistic counterpart of twistors as the spinorial represe…