97 citations · 506 across the 21 of their papers we have counts for
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On Carrollian and Galilean contractions of BMS algebra in 3 and 4 dimensions
Andrzej Borowiec, Jerzy Kowalski-Glikman, Tomasz Trześniewski
In this paper, we find a class of Carrollian and Galilean contractions of (extended) BMS algebra in 3+1 and 2+1 dimensions. To this end, we investigate possible embeddings of 3D/4D…
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…
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…
Constraints on the quantum gravity scale from kappa - Minkowski spacetime
A. Borowiec, Kumar S. Gupta, S. Meljanac +1
We compare two versions of deformed dispersion relations (energy vs momenta and momenta vs energy) and the corresponding time delay up to the second order accuracy in the quantum g…