Multidimensional Calogero systems from matrix models
Abstract
We show that a particular manymatrix model gives rise, upon hamiltonian reduction, to a multidimensional version of the CalogeroSutherland 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 YangMills theories to 0 + 1dimensions is pointed out. In particular, it is shown that the lowenergy dynamics of D0branes in sectors with nontrivial fermion content is that of spinCalogero particles.
 Publication:

Physics Letters B
 Pub Date:
 February 1997
 DOI:
 10.1016/S03702693(97)007880
 arXiv:
 arXiv:hepth/9705047
 Bibcode:
 1997PhLB..408..117P
 Keywords:

 High Energy Physics  Theory;
 Condensed Matter
 EPrint:
 12 pages, no figures, plain tex, phyzzx macro