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On a Matrix Model of Level Structure

Jeong-Hyuck Park
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Abstract

We generalize the dimensionally reduced Yang-Mills matrix model by adding d=1 Chern-Simons term and terms for a bosonic vector. The coefficient, κof 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 κ^2/r^2 repulsive potential from each other. We argue the relevant brane configuration to be D0-branes in a D4 after κof D8's pass the system.

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Jeong-Hyuck Park. 2001-12-14. On a Matrix Model of Level Structure. https://doi.org/10.1088/0264-9381%2F19%2F3%2F101

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