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κ-deformation of phase space; generalized Poincaré algebras and R-matrix

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Abstract

We deform a phase space (Heisenberg algebra and corresponding coalgebra) by twist. We present undeformed and deformed tensor identities that are crucial in our construction. Coalgebras for the generalized Poincaré algebras have been constructed. The exact universal R-matrix for the deformed Heisenberg (co)algebra is found. We show, up to the third order in the deformation parameter, that in the case of κ-Poincaré Hopf algebra this R-matrix can be expressed in terms of Poincaré generators only. This implies that the states of any number of identical particles can be defined in a κ-covariant way.

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Authors and Affiliations

  1. Rudjer Bošković Institute, Bijenička c.54, HR-10002, Zagreb, Croatia

    S. Meljanac, A. Samsarov & R. Štrajn

  2. Jacobs University Bremen, 28759, Bremen, Germany

    R. Štrajn

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  1. S. Meljanac
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  2. A. Samsarov
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  3. R. Štrajn
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Correspondence to A. Samsarov.

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Meljanac, S., Samsarov, A. & Štrajn, R. κ-deformation of phase space; generalized Poincaré algebras and R-matrix. J. High Energ. Phys. 2012, 127 (2012). https://doi.org/10.1007/JHEP08(2012)127

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