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Noncommutative Differential Forms on the kappa-deformed Space


Meljanac, Stjepan; Krešić-Jurić, Saša
Noncommutative Differential Forms on the kappa-deformed Space // Journal of Physics A - Mathematical and Theoretical, 42 (2009), 36; 365204-365225 doi:10.1088/1751-8113/42/36/365204) (međunarodna recenzija, članak, znanstveni)


Naslov
Noncommutative Differential Forms on the kappa-deformed Space

Autori
Meljanac, Stjepan ; Krešić-Jurić, Saša

Izvornik
Journal of Physics A - Mathematical and Theoretical (1751-8113) 42 (2009), 36; 365204-365225

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

Ključne riječi
Differential form; kappa-deformed space; realization; Weyl algebra; exterior derivative

Sažetak
We construct a differential algebra of forms on the kappa-deformed space. For a given realization of the noncommutative coordinates as formal power series in the Weyl algebra we find an infinite family of one-forms and nilpotent exterior derivatives. We derive explicit expressions for the exterior derivative and one-forms in covariant and noncovariant realizations. We also introduce higher-order forms and show that the exterior derivative satisfies the graded Leibniz rule. The differential forms are not graded-commutative, but they satisfy the graded Jacobi identity. The star-product of classical differential forms is also defined. It is shown that the product depends on the realizations of both the noncommutative coordinates and one-forms on the kappa-deformed space. Owner: Sasa Kresic-Juric

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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