Fuzzy spaces, the M(atrix) model and the quantum Hall effect

Details Fuzzy spaces, the M(atrix) model and the quantum Hall effect Fuzzy spaces, the M(atrix) model and the quantum Hall effect

2004-07-01

arxiv.org/abs/hep-th/0407007v2

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 33 pages, to appear in the Ian Kogan Memorial volume, ``From Fields to Strings: Circumnavigating Theoretical Physics'',

Scientific paper

This is a short review of recent work on fuzzy spaces in their relation to the M(atrix) theory and the quantum Hall effect. We give an introduction to fuzzy spaces and how the limit of large matrices is obtained. The complex projective spaces ${\bf CP}^k$, and to a lesser extent spheres, are considered. Quantum Hall effect and the behavior of edge excitations of a droplet of fermions on these spaces and their relation to fuzzy spaces are also discussed.

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