On a Matrix Model of Level Structure

Details On a Matrix Model of Level Structure On a Matrix Model of Level Structure

2001-08-21

arxiv.org/abs/hep-th/0108145v5

Class.Quant.Grav.19:L11-L16,2002

Physics

High Energy Physics

High Energy Physics - Theory

1+6 pages, No figure, LaTeX; Minor changes; To appear in Class. Quant. Grav

Scientific paper

10.1088/0264-9381/19/3/101

We generalize the dimensionally reduced Yang-Mills matrix model by adding d=1 Chern-Simons term and terms for a bosonic vector. The coefficient, \kappa of the Chern-Simons term must be integer, and hence the level structure. We show at the bottom of the Yang-Mills potential, the low energy limit, only the linear motion is allowed for D0 particles. Namely all the particles align themselves on a single straight line subject to \kappa^2/r^2 repulsive potential from each other. We argue the relevant brane configuration to be D0-branes in a D4 after \kappa of D8's pass the system.

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