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K-Poincare-Hopf algebra and Hopf algebroid structure of phase space from twist


Jurić, Tajron; Meljanac, Stjepan; Štrajn, Rina
K-Poincare-Hopf algebra and Hopf algebroid structure of phase space from twist // Physics letters. A, 377 (2013), 38; 2472-2476 doi:10.1016/j.physleta.2013.07.021 (međunarodna recenzija, članak, znanstveni)


Naslov
K-Poincare-Hopf algebra and Hopf algebroid structure of phase space from twist

Autori
Jurić, Tajron ; Meljanac, Stjepan ; Štrajn, Rina

Izvornik
Physics letters. A (0375-9601) 377 (2013), 38; 2472-2476

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

Ključne riječi
noncommutative space; κ-Minkowski spacetime; κ-Poincaré algebra; Hopf algebra; Hopf algebroid; twist

Sažetak
We unify k-Poincare algebra and k-Minkowski spacetime by embeding them into quantum phase space. The quantum phase space has Hopf algebroid structure to which we apply the twist in order to get k- deformed Hopf algebroid structure and k-deformed phase space. We explicitly construct k-Poincare-Hopf algebra and k-Minkowski spacetime from twist. It is outlined how this construction can be extended to k-deformed super algebra including exterior derivative and forms. Our results are relevant for constructing physical theories on noncommutative spacetime by twisting Hopf algebroid phase space structure.

Izvorni jezik
Engleski

Znanstvena područja
Fizika



POVEZANOST RADA


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

Ustanove
Institut "Ruđer Bošković", Zagreb

Profili:

Avatar Url Stjepan Meljanac (autor)

Avatar Url Tajron Jurić (autor)

Citiraj ovu publikaciju

Jurić, Tajron; Meljanac, Stjepan; Štrajn, Rina
K-Poincare-Hopf algebra and Hopf algebroid structure of phase space from twist // Physics letters. A, 377 (2013), 38; 2472-2476 doi:10.1016/j.physleta.2013.07.021 (međunarodna recenzija, članak, znanstveni)
Jurić, T., Meljanac, S. & Štrajn, R. (2013) K-Poincare-Hopf algebra and Hopf algebroid structure of phase space from twist. Physics letters. A, 377 (38), 2472-2476 doi:10.1016/j.physleta.2013.07.021.
@article{article, year = {2013}, pages = {2472-2476}, DOI = {10.1016/j.physleta.2013.07.021}, keywords = {noncommutative space, κ-Minkowski spacetime, κ-Poincar\'{e} algebra, Hopf algebra, Hopf algebroid, twist}, journal = {Physics letters. A}, doi = {10.1016/j.physleta.2013.07.021}, volume = {377}, number = {38}, issn = {0375-9601}, title = {K-Poincare-Hopf algebra and Hopf algebroid structure of phase space from twist}, keyword = {noncommutative space, κ-Minkowski spacetime, κ-Poincar\'{e} algebra, Hopf algebra, Hopf algebroid, twist} }

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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