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Two-Dimensional Gauge Theory and Matrix Model

arXiv:0811.3569 · doi:10.1016/j.physletb.2009.01.038

Abstract

We study a matrix model obtained by dimensionally reducing Chern-Simon theory on S^3. We find that the matrix integration is decomposed into sectors classified by the representation of SU(2). We show that the N-block sectors reproduce SU(N) Yang-Mills theory on S^2 as the matrix size goes to infinity.

14 pages, a reference added, typos corrected