Quasiparticle excitations and hierarchies of 4-dimensional quantum Hall fluid states in the matrix models

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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5 pages, no figure, revtex

Scientific paper

We investigate the condensate mechanism of the low-lying excitations in the matrix models of 4-dimensional quantum Hall fluids recently proposed by us. It is shown that there exist some hierarchies of 4-dimensional quantum Hall fluid states in the matrix models, and they are similar to the Haldane's hierarchy in the 2-dimensional quantum Hall fluids. However, these hierarchical fluid states appear consistently in our matrix models without any requirement of modifications of the matrix models.

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