On integrable isospin particle system on high dimensional quaternionic systems
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We explicitly construct the projection map of a fibration of odd-dimensional complex projective space over quaternionic projective one. Performing a Hamiltonian reduction by U(1) subset of the isometries of both total space and bundle we construct an integrable system of free particle on ℍℙ n with the presence of Yang’s monopole.
KeywordsProjective Space Nucleus Letter Total Space Free Particle Quantum Hall Effect
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- 3.B. A. Bernevig, C. H. Chern, J. P. Hu, N. Toumbas, and S. C. Zhang, “Effective field theory description of the higher dimensional quantum hall liquid,” Annals Phys. 300, 185 (2002); M. Fabinger, “Higher-dimensional quantum hall effect in string theory,” JHEP 0205, 037 (2002).ADSCrossRefMathSciNetMATHGoogle Scholar