On twist quantizations of <Emphasis Type="Italic">D</Emphasis> = 4 Lorentz and Poincare algebras |
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Authors: | A Borowiec J Lukierski V N Tolstoy |
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Institution: | (1) Institute for Theoretical Physics, University of Wroclaw, pl. Maxa Borna 9, 50-205 Wroclaw, Poland;(2) Institute of Nuclear Physics, Moscow State University, 119 992 Moscow, Russia |
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Abstract: | We use the decomposition of o(3, 1) = sl(2; ℂ)1 ⊕sl(2; ℂ)2 in order to describe nonstandard quantum deformation of o(3, 1) linked with Jordanian deformation of sl(2; ℂ). Using the
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.
Presented at the International Colloquium “Integrable Systems and Quantum Symmetries”, Prague, 16–18 June 2005. |
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Keywords: | quantum groups Drinfeld twist deformed coproduct |
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