We investigate a class of matrix model which describes the dynamics of identical particles in even-dimensional space. We show that the degrees of freedom after some constraints are implemented is proportional to particle number and consist of those for positions and internal degrees. The particle dynamics is given by the metric on the smooth moduli space. The moduli space metric for two particles is found. The size of tightly packed N particles grows like √N. Our matrix model is related to the matrix model for fractional quantum Hall effect, the ADHM formalism of U(1) instantons on noncommutative space, and supersymmetric D0 branes on D6 branes with nonzero B-field in type IIA theory.
|Number of pages
|Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
|Published - 5 Sep 2002
Bibliographical noteFunding Information:
This work is supported in part by the BK21 program of Ministry of Education (C.K., S.-H.Y.) and KOSEF 1998 interdisciplinary research grant 98-07-02-07-01-5 (K.L.). We appreciate Dongsu Bak and Jeong-Hyuck Park for many discussions on the subject.