Naslov
Families of vector-like deformations of relativistic quantum phase spaces, twists and symmetries

Autori
Meljanac, Daniel ; Meljanac, Stjepan ; Pikutić, Danijel

Izvornik
European physical journal C : particles and fields (1434-6044) 77 (2017), 12; 830, 12

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

Ključne riječi
noncommutative space

Sažetak
Families of vector-like deformed relativistic quantum phase spaces and corresponding realizations are analyzed. A method for a general construction of the star product is presented. The corresponding twist, expressed in terms of phase space coordinates, in the Hopf algebroid sense is presented. General linear realizations are considered and corresponding twists, in terms of momenta and Poincaré–Weyl generators or gl(n) generators are constructed and R-matrix is discussed. A classification of linear realizations leading to vector-like deformed phase spaces is given. There are three types of spaces: (i) commutative spaces, (ii) kappa-Minkowski spaces and (iii) kappa-Snyder spaces. The corresponding star products are (i) associative and commutative (but non-local), (ii) associative and non-commutative and (iii) non-associative and non-commutative, respectively. Twisted symmetry algebras are considered. Transposed twists and left–right dual algebras are presented. Finally, some physical applications are discussed.

Izvorni jezik
Engleski

Znanstvena područja
Fizika

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