On Twist Quantizations of D=4 Lorentz and Poincare Algebras

Details On Twist Quantizations of D=4 Lorentz and Poincare Algebras On Twist Quantizations of D=4 Lorentz and Poincare Algebras

2005-10-18

arxiv.org/abs/hep-th/0510154v1

Czech.J.Phys.55:11,2005

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, presented during the XIVth International Colloquium on Integrable Systems (ISQS-14), Prague, June 16-18, 2005; to app

Scientific paper

10.1007/s10582-006-0008-7

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.

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