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## Kappa-Minkowski spacetime, kappa-Poincaré Hopf algebra and realizations

Kovačević, Domagoj; Meljanac, Stjepan
Kappa-Minkowski spacetime, kappa-Poincaré Hopf algebra and realizations // Journal of physics. A, Mathematical and theoretical, 45 (2012), 13; 135208-1 doi:10.1088/1751-8113/45/13/135208 (međunarodna recenzija, članak, znanstveni)

Naslov
Kappa-Minkowski spacetime, kappa-Poincaré Hopf algebra and realizations

Autori
Kovačević, Domagoj ; Meljanac, Stjepan

Izvornik
Journal of physics. A, Mathematical and theoretical (1751-8113) 45 (2012), 13; 135208-1

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

Ključne riječi
kappa-Minkowski spacetime; kappa-Poincaré Hopf algebra

Sažetak
We unify kappa-Minkowki spacetime and Lorentz algebra in unique Lie algebra. Introducing commutative momenta, a family of kappa-deformed Heisenberg algebras and kappa-deformed Poincaré algebras are defined. They are specified by the matrix depending on momenta. We construct all such matrices. Realizations and star product are defined and analyzed in general and specially, their relation to coproduct of momenta is pointed out. Hopf algebra of the Poincaré algebra, related to the covariant realization, is presented in unified covariant form. Left–right dual realizations and dual algebra are introduced and considered. The generalized involution and the star inner product are analyzed and their properties are discussed. Partial integration and deformed trace property are obtained in general. The translation invariance of the star product is pointed out. Finally, perturbative approach up to the first order in a is presented in the appendix.

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Fizika

POVEZANOST RADA

Projekt / tema
098-0000000-2865 - Kvantna teorija polja, nekomutativni prostori i simetrije (Stjepan Meljanac, )

Ustanove
Fakultet elektrotehnike i računarstva, Zagreb,
Institut "Ruđer Bošković", Zagreb

Profili:

Stjepan Meljanac (autor)

Domagoj Kovačević (autor)

#### Citiraj ovu publikaciju

Kovačević, Domagoj; Meljanac, Stjepan
Kappa-Minkowski spacetime, kappa-Poincaré Hopf algebra and realizations // Journal of physics. A, Mathematical and theoretical, 45 (2012), 13; 135208-1 doi:10.1088/1751-8113/45/13/135208 (međunarodna recenzija, članak, znanstveni)
Kovačević, D. & Meljanac, S. (2012) Kappa-Minkowski spacetime, kappa-Poincaré Hopf algebra and realizations. Journal of physics. A, Mathematical and theoretical, 45 (13), 135208-1 doi:10.1088/1751-8113/45/13/135208.
@article{article, year = {2012}, pages = {135208-1-135208-24}, DOI = {10.1088/1751-8113/45/13/135208}, keywords = {kappa-Minkowski spacetime, kappa-Poincar\'{e} Hopf algebra}, journal = {Journal of physics. A, Mathematical and theoretical}, doi = {10.1088/1751-8113/45/13/135208}, volume = {45}, number = {13}, issn = {1751-8113}, title = {Kappa-Minkowski spacetime, kappa-Poincar\'{e} Hopf algebra and realizations}, keyword = {kappa-Minkowski spacetime, kappa-Poincar\'{e} Hopf algebra} }

#### 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