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Multidimensional Calogero systems from matrix models

delete1997-09-01
delete20
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Alexios P. Polychronakos *
DOI：10.1016/S0370-2693(97)00788-0delete
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Abstract

Abstract

En 中文
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. (C) 1997 Elsevier Science B.V.
Keywords:
INTEGRABLE SYSTEMS
QUANTUM-MECHANICS
BODY PROBLEMS
MOSER SYSTEM
PARTICLES
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Journal

Physics Letters B cover
Physics Letters B
IF:
4.5
Papers:
3.2W
Citations:
7.3W

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