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Generalized Poincaré algebras, Hopf algebras and kappa-Minkowki spacetime


Kovačević, Domagoj; Meljanac, Stjepan; Pachol, Anna; Štrajn, Rina
Generalized Poincaré algebras, Hopf algebras and kappa-Minkowki spacetime // Physics letters. B, 711 (2012), 1; 122-127 doi:10.1016/j.physletb.2012.03.062 (međunarodna recenzija, članak, znanstveni)


Naslov
Generalized Poincaré algebras, Hopf algebras and kappa-Minkowki spacetime

Autori
Kovačević, Domagoj ; Meljanac, Stjepan ; Pachol, Anna ; Štrajn, Rina

Izvornik
Physics letters. B (0370-2693) 711 (2012), 1; 122-127

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

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

Sažetak
We propose a generalized description for the kappa-Poincare Hopf algebra as a symmetry quantum group of underlying kappa-Minkowski spacetime. We investigate all the possible implementations of (deformed) Lorentz algebras which are compatible with the given choice of kappa-Minkowski algebra realization. For the given realization of kappa-Minkowski spacetime there is a unique kappa-Poincare Hopf algebra with undeformed Lorentz algebra. We have constructed a three-parameter family of deformed Lorentz generators with kappa-Poincare algebras which are related to kappa-Poincare Hopf algebra with undeformed Lorentz algebra. Known bases of kappa-Poincare Hopf algebra are obtained as special cases. Also deformation of igl (4) Hopf algebra compatible with the kappa-Minkowski spacetime is presented. Some physical applications are briefly discussed.

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:

Avatar Url Stjepan Meljanac (autor)

Avatar Url Domagoj Kovačević (autor)

Citiraj ovu publikaciju

Kovačević, Domagoj; Meljanac, Stjepan; Pachol, Anna; Štrajn, Rina
Generalized Poincaré algebras, Hopf algebras and kappa-Minkowki spacetime // Physics letters. B, 711 (2012), 1; 122-127 doi:10.1016/j.physletb.2012.03.062 (međunarodna recenzija, članak, znanstveni)
Kovačević, D., Meljanac, S., Pachol, A. & Štrajn, R. (2012) Generalized Poincaré algebras, Hopf algebras and kappa-Minkowki spacetime. Physics letters. B, 711 (1), 122-127 doi:10.1016/j.physletb.2012.03.062.
@article{article, year = {2012}, pages = {122-127}, DOI = {10.1016/j.physletb.2012.03.062}, keywords = {kappa-Minkowski spacetime, kappa-Poincar\'{e} Hopf algebra}, journal = {Physics letters. B}, doi = {10.1016/j.physletb.2012.03.062}, volume = {711}, number = {1}, issn = {0370-2693}, title = {Generalized Poincar\'{e} algebras, Hopf algebras and kappa-Minkowki spacetime}, 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


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