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Differential algebras on kappa-Minkowski space and action of the Lorentz algebra


Meljanac, Stjepan; Krešić Jurić, Saša; Štrajn, Rina
Differential algebras on kappa-Minkowski space and action of the Lorentz algebra // International journal of modern physics A, 27 (2012), 10; 1250057-1 doi:10.1142/S0217751X12500571 (međunarodna recenzija, članak, znanstveni)


Naslov
Differential algebras on kappa-Minkowski space and action of the Lorentz algebra

Autori
Meljanac, Stjepan ; Krešić Jurić, Saša ; Štrajn, Rina

Izvornik
International journal of modern physics A (0217-751X) 27 (2012), 10; 1250057-1

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

Ključne riječi
Kappa-Minkowski space; Lorenz algebra; realizations; differential algebra; covariance

Sažetak
We propose two families of differential algebras of classical dimension on kappa-Minkowski space. The algebras are constructed using realizations of the generators as formal power series in a Weyl superalgebra. We also propose a novel realization of the Lorentz algebra so(1, n−1) in terms of Grassmann-type variables. Using this realization we construct an action of so(1, n−1) on the two families of algebras. Restriction of the action to kappa-Minkowski space is covariant. In contrast to the standard approach the action is not Lorentz covariant except on constant one-forms, but it does not require an extra cotangent direction.

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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