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κ-Deformed Phase Space, Hopf Algebroid and Twisting


Jurić, Tajron; Kovačević, Domagoj; Meljanac, Stjepan
κ-Deformed Phase Space, Hopf Algebroid and Twisting // Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 10 (2014), 106-124 doi:10.3842/SIGMA.2014.106 (međunarodna recenzija, članak, znanstveni)


Naslov
κ-Deformed Phase Space, Hopf Algebroid and Twisting

Autori
Jurić, Tajron ; Kovačević, Domagoj ; Meljanac, Stjepan

Izvornik
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) (1815-0659) 10 (2014); 106-124

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

Ključne riječi
Noncommutative space ; κ-Minkowski spacetime ; Hopf algebroid ; κ-Poincaré algebra ; realizations ; twist.

Sažetak
Hopf algebroid structures on the Weyl algebra (phase space) are presented. We define the coproduct for the Weyl generators from Leibniz rule. The codomain of the coproduct is modified in order to obtain an algebra structure. We use the dual base to construct the target map and antipode. The notion of twist is analyzed for κ-deformed phase space in Hopf algebroid setting. It is outlined how the twist in the Hopf algebroid setting reproduces the full Hopf algebra structure of κ-Poincaré algebra. Several examples of realizations are worked out in details.

Izvorni jezik
Engleski

Znanstvena područja
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

Citiraj ovu publikaciju

Jurić, Tajron; Kovačević, Domagoj; Meljanac, Stjepan
κ-Deformed Phase Space, Hopf Algebroid and Twisting // Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 10 (2014), 106-124 doi:10.3842/SIGMA.2014.106 (međunarodna recenzija, članak, znanstveni)
Jurić, T., Kovačević, D. & Meljanac, S. (2014) κ-Deformed Phase Space, Hopf Algebroid and Twisting. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 10, 106-124 doi:10.3842/SIGMA.2014.106.
@article{article, year = {2014}, pages = {106-124}, DOI = {10.3842/SIGMA.2014.106}, keywords = {noncommutative space, κ-Minkowski spacetime, Hopf algebroid, κ-Poincar\'{e} algebra, realizations, twist.}, journal = {Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)}, doi = {10.3842/SIGMA.2014.106}, volume = {10}, issn = {1815-0659}, title = {κ-Deformed Phase Space, Hopf Algebroid and Twisting}, keyword = {noncommutative space, κ-Minkowski spacetime, Hopf algebroid, κ-Poincar\'{e} algebra, realizations, 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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