187 citations · 1.8k across the 63 of their papers we have counts for
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Anisotropic harmonic oscillator, non-commutative Landau problem and exotic Newton-Hooke symmetry
Pedro D. Alvarez, Joaquim Gomis, Kiyoshi Kamimura +1
We investigate the planar anisotropic harmonic oscillator with explicit rotational symmetry as a particle model with non-commutative coordinates. It includes the exotic Newton-Hook…
Projective Coordinates and Projective Space Limit
Machiko Hatsuda, Kiyoshi Kamimura
The "projective lightcone limit" has been proposed as an alternative holographic dual of an AdS space. It is a new type of group contraction for a coset G/H preserving the isometry…
Gauge transformations and symmetries of integrable systems
Takeshi Fukuyama, Kiyoshi Kamimura, Sasa Kresić-Jurić +1
We analyze several integrable systems in zero-curvature form within the framework of invariant gauge theory. In the Drienfeld-Sokolov gauge we derive a two-parameter fam…
(2+1)D Exotic Newton-Hooke Symmetry, Duality and Projective Phase
Pedro D. Alvarez, Joaquim Gomis, Kiyoshi Kamimura +1
A particle system with a (2+1)D exotic Newton-Hooke symmetry is constructed by the method of nonlinear realization. It has three essentially different phases depending on the value…