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Differential structure on kappa-Minkowski space, and kappa-Poincare algebra


Meljanac, Stjepan; Krešić-Jurić, Saša
Differential structure on kappa-Minkowski space, and kappa-Poincare algebra // International journal of modern physics A, 26 (2011), 20; 3385-3402 doi:10.1142/S0217751X11053948 (međunarodna recenzija, članak, znanstveni)


Naslov
Differential structure on kappa-Minkowski space, and kappa-Poincare algebra

Autori
Meljanac, Stjepan ; Krešić-Jurić, Saša

Izvornik
International journal of modern physics A (0217-751X) 26 (2011), 20; 3385-3402

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Noncommutative space

Sažetak
We construct realizations of the generators of the κ-Minkowski space and κ-Poincaré algebra as formal power series in the h-adic extension of the Weyl algebra. The Hopf algebra structure of the κ-Poincaré algebra related to different realizations is given. We construct realizations of the exterior derivative and one-forms, and define a differential calculus on κ-Minkowski space which is compatible with the action of the Lorentz algebra. In contrast to the conventional bicovariant calculus, the space of one-forms has the same dimension as the κ-Minkowski space.

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Fizika



POVEZANOST RADA


Projekt / tema
098-0000000-2865 - Kvantna teorija polja, nekomutativni prostori i simetrije (Stjepan Meljanac, )
177-0372794-2816 - Lieve grupe, integrabilni sistemi i simetrije (Saša Krešić-Jurić, )

Ustanove
Institut "Ruđer Bošković", Zagreb,
Prirodoslovno-matematički fakultet, Split

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus


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