Multidimensional Calogero systems from matrix models
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.
- Publication:
-
Physics Letters B
- Pub Date:
- February 1997
- DOI:
- 10.1016/S0370-2693(97)00788-0
- arXiv:
- arXiv:hep-th/9705047
- Bibcode:
- 1997PhLB..408..117P
- Keywords:
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- High Energy Physics - Theory;
- Condensed Matter
- E-Print:
- 12 pages, no figures, plain tex, phyzzx macro