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Supersymmetric gauge theories, Coulomb gases, and Chern-Simons matrix models

Supersymmetric gauge theories, Coulomb gases, and Chern-Simons matrix models

We develop Coulomb gas pictures of strong and weak coupling regimes of supersymmetric Yang-Mills theory in five and four dimensions. By relating them to the matrix models that arise in Chern-Simons theory, we compute their free energies in the large N limit and establish relationships between the respective gauge theories. …