Kappa-deformation of phase space ; generalized Poincare algebras and R-matrix (CROSBI ID 187009)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
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