Two-Dimensional Gauge Theory and Matrix Model

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

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Cited by in corpus (9)

• Non-Abelian Localization for Supersymmetric Yang-Mills-Chern-Simons Theories on Seifert Manifold
• Large N reduction for Chern-Simons theory on S^3
• A Novel Large-N Reduction on S^3: Demonstration in Chern-Simons Theory
• Formulation of Supersymmetry on a Lattice as a Representation of a Deformed Superalgebra
• Large-N reduction for N=2 quiver Chern-Simons theories on S^3 and localization in matrix models
• A non-perturbative formulation of N=4 super Yang-Mills theory based on the large-N reduction
• Impact of Supersymmetry on Emergent Geometry in Yang-Mills Matrix Models II
• A new large-N limit and the planar equivalence outside the planar limit
• Remarks on the eigenvalues distributions of D\leq 4 Yang-Mills matrix models