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Two-dimensional gauge theory and matrix model

Authors:	Goro Ishiki Kazutoshi Ohta Shinji Shimasaki Asato Tsuchiya

Institution:	1. Department of Physics, Graduate School of Science, Osaka University, Toyonaka, Osaka 560-0043, Japan;2. Institute of Particle and Nuclear Studies, High Energy Accelerator Research Organization (KEK), 1-1 Oho, Tsukuba, Ibaraki 305-0801, Japan;3. High Energy Theory Group, Department of Physics, Tohoku University, Sendai 980-8578, Japan;4. Department of Physics, Shizuoka University, 836 Ohya, Suruga-ku, Shizuoka 422-8529, Japan

Abstract:	We study a matrix model obtained by dimensionally reducing Chern–Simons theory on S³ $S^{3}$ . We find that the matrix integration is decomposed into sectors classified by the representation of SU(2) $SU (2)$ . We show that the N -block sectors reproduce SU(N) $SU (N)$ Yang–Mills theory on S² $S^{2}$ as the matrix size goes to infinity.

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