53 citations · 366 across the 24 of their papers we have counts for
6 papers · 1 filter
-graded mechanics: the quantization
N. Aizawa, Z. Kuznetsova, F. Toppan
In the previous paper arXiv:2003.06470 we introduced the notion of -graded classical mechanics and presented a general framework to construct, in…
-graded mechanics: the classical theory
N. Aizawa, Z. Kuznetsova, F. Toppan
-graded mechanics admits four types of particles: ordinary bosons, two classes of fermions (fermions belonging to different classes commute among…
Intertwining Operator Realization of anti de Sitter Holography
N. Aizawa, V. K. Dobrev
We give a group-theoretic interpretation of relativistic holography as equivalence between representations of the anti de Sitter algebra describing bulk fields and boundary fields.…
Chiral and Real N=2 supersymmetric l-conformal Galilei algebras
N. Aizawa, Z. Kuznetsova, F. Toppan
Inequivalent N=2 supersymmetrizations of the l-conformal Galilei algebra in d-spatial dimensions are constructed from the chiral (2,2) and the real (1,2,1) basic supermultiplets of…
Laughlin states on the sphere as representations of Uq(sl(2))
N. Aizawa, S. Sachse, H-T. Sato
We discuss quantum algebraic structures of the systems of electrons or quasiparticles on a sphere of which center a magnetic monople is located on. We verify that the deformation p…
Quantum affine transformation group and covariant differential calculus
N. Aizawa, H. -T. Sato
We discuss quantum deformation of the affine transformation group and its Lie algebra. It is shown that the quantum algebra has a non-cocommutative Hopf algebra structure, simple r…