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arXiv · hep-th/9705047

Multidimensional Calogero systems from matrix models

Alexios P. Polychronakos
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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.

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Alexios P. Polychronakos. 1997-05-08. Multidimensional Calogero systems from matrix models. https://doi.org/10.1016/s0370-2693(97)00788-0

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