On Twist Quantizations of D=4 Lorentz and Poincare Algebras

Abstract

We use the decomposition of o(3,1)=sl(2;C)_1\oplus sl(2;C)_2 in order to describe nonstandard quantum deformation of o(3,1) linked with Jordanian deformation of sl(2;C}. Using twist quantization technique we obtain the deformed coproducts and antipodes which can be expressed in terms of real physical Lorentz generators. We describe the extension of the considered deformation of D=4 Lorentz algebra to the twist deformation of D=4 Poincare algebra with dimensionless deformation parameter.

arXiv comment6 pages, presented during the XIVth International Colloquium on Integrable Systems (ISQS-14), Prague, June 16-18, 2005; to appear in Czech. J. Phys. v.55 no. 11 (2005)

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Cited by in corpus (5)

• kappa-Minkowski spacetime as the result of Jordanian twist deformation
• Classical basis for kappa-Poincare algebra and doubly special relativity theories
• Differential Structure on kappa-Minkowski Spacetime Realized as Module of Twisted Weyl Algebra
• Jordanian Twist Quantization of D=4 Lorentz and Poincare Algebras and D=3 Contraction Limit
• Once again about quantum deformations of D=4 Lorentz algebra: twistings of q-deformation