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Differential forms and κ-Minkowski spacetime from extended twist (CROSBI ID 194919)

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Jurić, Tajron ; Meljanac, Stjepan ; Štrajn, Rina Differential forms and κ-Minkowski spacetime from extended twist // European physical journal C : particles and fields, 73 (2013), 2472-2480. doi: 10.1140/epjc/s10052-013-2472-0

Podaci o odgovornosti

Jurić, Tajron ; Meljanac, Stjepan ; Štrajn, Rina

engleski

Differential forms and κ-Minkowski spacetime from extended twist

We analyze bicovariant differential calculus on κ-Minkowski spacetime. It is shown that corresponding Lorentz generators and noncommutative coordinates compatible with bicovariant calculus cannot be realized in terms of commutative coordinates and momenta. Furthermore, κ-Minkowski space and NC forms are constructed by twist related to a bicrossproduct basis. It is pointed out that the consistency condition is not satisfied. We present the construction of κ-deformed coordinates and forms (super-Heisenberg algebra) using extended twist. It is compatible with bicovariant differential calculus with κ-deformed igl(4) -Hopf algebra. The extended twist leading to κ-Poincaré-Hopf algebra is also discussed.

noncommutative space; κ -Minkowski spacetime; differential forms; super-Heisenberg algebra; realizations; twist

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Podaci o izdanju

73

2013.

2472-2480

objavljeno

1434-6044

10.1140/epjc/s10052-013-2472-0

Povezanost rada

Fizika

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