Fuzzy spaces, the M(atrix) model and the quantum Hall effect
High Energy Physics - Theory
2016-11-23 v2
Abstract
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 , 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.
Keywords
Cite
@article{arxiv.hep-th/0407007,
title = {Fuzzy spaces, the M(atrix) model and the quantum Hall effect},
author = {Dimitra Karabali and V. P. Nair and S. Randjbar-Daemi},
journal= {arXiv preprint arXiv:hep-th/0407007},
year = {2016}
}
Comments
LaTeX, 33 pages, to appear in the Ian Kogan Memorial volume, ``From Fields to Strings: Circumnavigating Theoretical Physics'', ref.'s added