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Scalar field theory on kappa-Minkowski spacetime and translation and Lorentz invariance
Stjepan Meljanac, Andjelo Samsarov
We investigate the properties of kappa-Minkowski spacetime by using representations of the corresponding deformed algebra in terms of undeformed Heisenberg-Weyl algebra. The deform…
Differential structure on kappa-Minkowski space, and kappa-Poincare algebra
Stjepan Meljanac, Sasa Kresic-Juric
We construct realizations of the generators of the -Minkowski space and -Poincaré algebra as formal power series in the -adic extension of the Weyl algebra. The Hopf algeb…
Fluctuations around Periodic BPS-Density Waves in the Calogero Model
V. Bardek, J. Feinberg, S. Meljanac
The collective field formulation of the Calogero model supports periodic density waves. An important set of such density waves is a two-parameter family of BPS solutions of the equ…
Scalar Field Theory on Non-commutative Snyder Space-Time
Marco Valerio Battisti, Stjepan Meljanac
We construct a scalar field theory on the Snyder non-commutative space-time. The symmetry underlying the Snyder geometry is deformed at the co-algebraic level only, while its Poinc…