Pregled bibliografske jedinice broj: 731486
κ-Deformed Phase Space, Hopf Algebroid and Twisting
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)
CROSBI ID: 731486 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
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
Projekti:
098-0000000-2865 - Kvantna teorija polja, nekomutativni prostori i simetrije (Meljanac, Stjepan, MZOS ) ( CroRIS)
Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb,
Institut "Ruđer Bošković", Zagreb
Citiraj ovu publikaciju:
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
