97 citations · 194 across the 2 of their papers we have counts for
5 papers
kappa-Minkowski spacetime as the result of Jordanian twist deformation
A. Borowiec, A. Pachol
Two one-parameter families of twists providing kappa-Minkowski * -product deformed spacetime are considered: Abelian and Jordanian. We compare the derivation of quantum Minkowski s…
Covariant Lagrangian Formulation of Chern-Simons and BF Theories
A. Borowiec, L. Fatibene, M. Ferraris +1
We investigate the covariant formulation of Chern-Simons theories in a general odd dimension which can be obtained by introducing a vacuum connection field as a reference. Field eq…
Jordanian Quantum Deformations of D=4 Anti-de-Sitter and Poincare Superalgebras
A. Borowiec, J. Lukierski, V. N. Tolstoy
We consider a superextension of the extended Jordanian twist, describing nonstandard quantization of anti-de-Sitter () superalgebra in the form of Hopf superalgebra…
Basic Twist Quantization of the Exceptional Lie Algebra G_2
A. Borowiec, J. Lukierski, V. Lyakhovsky +2
We present the formulae for twist quantization of , corresponding to the solution of classical YB equation with support in the 8-dimensional Borel subalgebra of . The con…
Universal differential calculus on ternary algebras
N. Bazunova, A. Borowiec, R. Kerner
General concept of ternary algebras is introduced in this article, along with several examples of its realization. Universal envelope of such algebras is defined, as well as the co…