Naslov
Universal κ-Poincaré covariant differential calculus over κ-Minkowski space

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

Izvornik
International journal of modern physics A (0217-751X) 29 (2014), 22; 1450121-1450135

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

Ključne riječi
Noncommutative geometry ; κ-Minkowski space–time ; differential calculus ; κ-Poincaré algebra

Sažetak
Unified graded differential algebra, generated by κ-Minkowski noncommutative (NC) coordinates, Lorentz generators and anticommuting one-forms, is constructed. It is compatible with κ-Poincaré–Hopf algebra. For time- and space-like deformations, the super-Jacobi identities are not satisfied. By introducing additional generator, interpreted as exterior derivative, we find a new unique algebra that satisfies all super-Jacobi identities. It is universal and valid for all type of deformations (time-, space-, and light-like). For time-like deformations this algebra coincides with the one in A. Sitarz, Phys. Lett. B349, 42 (1995), arXiv:hep-th/9409014. Different realizations of our algebra in terms of super-Heisenberg algebra are presented. For light-like deformations we get (4D) bicovariant calculus, with κ-Poincaré–Hopf algebra and present the corresponding twist, which is written in a new covariant way, using Poincaré generators only. In the time- and space-like case, this twist leads to κ-Snyder space. Our results might lead to applications in NC quantum field theories (especially electrodynamics and gauge theories), quantum gravity models and Planck scale physics.

Izvorni jezik
Engleski

Znanstvena područja
Fizika

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