English

Two-Dimensional Gauge Theory and Matrix Model

High Energy Physics - Theory 2009-02-18 v2

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.

Keywords

Cite

@article{arxiv.0811.3569,
  title  = {Two-Dimensional Gauge Theory and Matrix Model},
  author = {Goro Ishiki and Kazutoshi Ohta and Shinji Shimasaki and Asato Tsuchiya},
  journal= {arXiv preprint arXiv:0811.3569},
  year   = {2009}
}

Comments

14 pages, a reference added, typos corrected

R2 v1 2026-06-21T11:44:06.322Z