κ-DEFORMATIONS OF D = 3 CONFORMAL VERSUS DEFORMATIONS OF D = 4 AdS SYMMETRIES

DOI10.1142/S0217732303009873zbMath1076.81528arXivhep-th/0301056WikidataQ62579702 ScholiaQ62579702MaRDI QIDQ5710936

Marek Mozrzymas, Jerzy Lukierski, Vladimir D. Lyakhovskiĭ

Publication date: 9 December 2005

Published in: Modern Physics Letters A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0301056

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40)

Related Items

A non-commutative Minkowskian spacetime from a quantum AdS algebra ⋮ Noncommutative relativistic spacetimes and worldlines from 2 + 1 quantum (anti-)de Sitter groups ⋮ Jordanian quantum deformations of \(D = 4\) anti-de Sitter and Poincaré superalgebras ⋮ Twist deformations of \(\kappa \)-Poincaré algebra ⋮ Basic twist quantization of the exceptional Lie algebra g2

Cites Work

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• Classical and quantum mechanics of free \(\kappa\)-relativistic systems
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• Bicrossproduct structure of \(\kappa\)-Poincaré group and non-commutative geometry.
• Non-standard quantumso(3, 2) and its contractions
• Extended Jordanian twists for Lie algebras
• Jordanian twists on deformed carrier subspaces
• Canonical q-deformations of noncompact Lie (super-)algebras
• Non-standard quantum so(2,2) and beyond
• Chains of twists for classical Lie algebras