Multidimensional Calogero systems from matrix models
High Energy Physics - Theory
2009-10-30 v1 Condensed Matter
Abstract
We show that a particular many-matrix model gives rise, upon hamiltonian reduction, to a multidimensional version of the Calogero-Sutherland model and its spin generalizations. Some simple solutions of these models are demonstrated by solving the corresponding matrix equations. A connection of this model to the dimensional reduction of Yang-Mills theories to (0+1)-dimensions is pointed out. In particular, it is shown that the low-energy dynamics of D0-branes in sectors with nontrivial fermion content is that of spin-Calogero particles.
Cite
@article{arxiv.hep-th/9705047,
title = {Multidimensional Calogero systems from matrix models},
author = {Alexios P. Polychronakos},
journal= {arXiv preprint arXiv:hep-th/9705047},
year = {2009}
}
Comments
12 pages, no figures, plain tex, phyzzx macro