\(\kappa\)-deformed Wigner construction of relativistic wave functions and free fields on \(\kappa\)-Minkowski space

DOI10.1016/S0920-5632(01)01552-3zbMath1006.81085arXivhep-th/0103127WikidataQ62579717 ScholiaQ62579717MaRDI QIDQ1602366

Jerzy Lukierski, Piotr Kosiński, Pawel Maslanka

Publication date: 19 June 2002

Published in: Nuclear Physics. B. Proceedings Supplements (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0103127

zbMATH Keywords

noncommutative space-timefree field equationskappa-deformed Poincaré group

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Noncommutative geometry methods in quantum field theory (81T75)

Related Items

GENERALIZED WEYL SYSTEMS AND κ-MINKOWSKI SPACE, Physical constraints on quantum deformations of spacetime symmetries, Solution of the \(\kappa\)-deformed Dirac equation with vector and scalar interactions in the context of spin and pseudospin symmetries, The Weyl–Mellin quantization map, Deformed field theory on \(\kappa\)-spacetime, Time discretization from noncommutativity, Covariant particle statistics and intertwiners of the \(\kappa \)-deformed Poincaré algebra, The 2D \(\kappa\)-Dirac oscillator, On the \(\kappa\)-Dirac oscillator revisited, On \(\kappa \)-deformation and triangular quasibialgebra structure, Geometrizing the Klein–Gordon and Dirac equations in doubly special relativity

Cites Work

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• The induced representations of the κ-Poincaré group
• Quantum Poincare group related to the kappa -Poincare algebra