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Kappa-deformation of phase space ; generalized Poincare algebras and R-matrix (CROSBI ID 187009)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Meljanac, Stjepan ; Samsarov, Anđelo ; Štrajn, Rina Kappa-deformation of phase space ; generalized Poincare algebras and R-matrix // The Journal of high energy physics, 8 (2012), 127-1-127-16. doi: 10.1007/JHEP08(2012)127

Podaci o odgovornosti

Meljanac, Stjepan ; Samsarov, Anđelo ; Štrajn, Rina

engleski

Kappa-deformation of phase space ; generalized Poincare algebras and R-matrix

We deform Heisenberg algebra and corresponding coalgebra by twist. We present undeformed and deformed tensor identities. Coalgebras for the generalized Poincar\'{; ; ; e}; ; ; 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 $\kappa$-Poincar\'{; ; ; e}; ; ; Hopf algebra this $R$-matrix can be expressed in terms of Poincar\'{; ; ; e}; ; ; generators only. This implies that the states of any number of identical particles can be defined in a $\kappa$-covariant way.

quantum groups; noncommutative geometry

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Podaci o izdanju

8

2012.

127-1-127-16

objavljeno

1126-6708

10.1007/JHEP08(2012)127

Povezanost rada

Fizika

Poveznice
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