Naslov
Twists, realizations and Hopf algebroid structure of κ-deformed phase space

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

Izvornik
International journal of modern physics A (0217-751X) 29 (2014), 5; 1450022-1450054

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

Ključne riječi
Noncommutative space ; κ-Minkowski space–time ; twist deformation ; R-matrix ; realization ; κ-deformed phase space ; Hopf algebroid

Sažetak
The quantum phase space described by Heisenberg algebra possesses undeformed Hopf algebroid structure. The κ-deformed phase space with noncommutative coordinates is realized in terms of undeformed quantum phase space. There are infinitely many such realizations related by similarity transformations. For a given realization, we construct corresponding coproducts of commutative coordinates and momenta (bialgebroid structure). The κ-deformed phase space has twisted Hopf algebroid structure. General method for the construction of twist operator (satisfying cocycle and normalization condition) corresponding to deformed coalgebra structure is presented. Specially, twist for natural realization (classical basis) of κ-Minkowski space–time is presented. The cocycle condition, κ-Poincaré algebra and R-matrix are discussed. Twist operators in arbitrary realizations are constructed from the twist in the given realization using similarity transformations. Some examples are presented. The important physical applications of twists, realizations, R-matrix and Hopf algebroid structure are discussed.

Izvorni jezik
Engleski

Znanstvena područja
Fizika

POVEZANOST RADA