31 citations · 198 across the 10 of their papers we have counts for
10 papers
Twist for Snyder space
Daniel Meljanac, Stjepan Meljanac, Salvatore Mignemi +2
We construct the twist operator for the Snyder space. Our starting point is a non-associative star product related to a Hermitian realisation of the noncommutative coordinates orig…
Quantum field theory in generalised Snyder spaces
S. Meljanac, D. Meljanac, S. Mignemi +1
We discuss the generalisation of the Snyder model that includes all possible deformations of the Heisenberg algebra compatible with Lorentz invariance and investigate its propertie…
Path integrals in Snyder space
S. Mignemi, R. Strajn
The definition of path integrals in one- and two-dimensional Snyder space is discussed in detail both in the traditional setting and in the first-order formalism of Faddeev and Jac…
Toward the classification of differential calculi on -Minkowski space and related field theories
Tajron Juric, Stjepan Meljanac, Danijel Pikutic +1
Classification of differential forms on -Minkowski space, particularly, the classification of all bicovariant differential calculi of classical dimension is presented. By imposi…
Quantum mechanics on a curved Snyder space
S. Mignemi, R. Strajn
We study the representations of the three-dimensional Euclidean Snyder-de Sitter algebra. This algebra generates the symmetries of a model admitting two fundamental scales (Planck…
Universal -Poincaré covariant differential calculus over -Minkowski space
Tajron Juric, Stjepan Meljanac, Rina Strajn
Unified graded differential algebra, generated by -Minkowski noncommutative (NC) coordinates, Lorentz generators and anticommuting one-forms, is constructed. It is compatible wi…
Twists, realizations and Hopf algebroid structure of kappa-deformed phase space
Tajron Juric, Stjepan Meljanac, Rina Strajn
The quantum phase space described by Heisenberg algebra possesses undeformed Hopf algebroid structure. The -deformed phase space with noncommutative coordinates is realized in t…
K-Poincare-Hopf algebra and Hopf algebroid structure of phase space from twist
Tajron Juric, Stjepan Meljanac, Rina Strajn
We unify k-Poincare algebra and k-Minkowski spacetime by embeding them into quantum phase space. The quantum phase space has Hopf algebroid structure to which we apply the twist in…
Differential forms and k-Minkowski spacetime from extended twist
Tajron Jurić, Stjepan Meljanac, Rina Štrajn
We analyze bicovariant differential calculus on -Minkowski spacetime. It is shown that corresponding Lorentz generators and noncommutative coordinates compatible with bicovarian…
Differential algebras on kappa-Minkowski space and action of the Lorentz algebra
Stjepan Meljanac, Sasa Kresic-Juric, Rina Strajn
We propose two families of differential algebras of classical dimension on kappa-Minkowski space. The algebras are constructed using realizations of the generators as formal power…