RT Journal Article T1 Supersymmetric gauge theories, Coulomb gases and Chern-Simons matrix models A1 Giasemidis, Georgios A1 Szabo, Richard J. A1 Tierz, Miguel AB 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. We use these correspondences to rederive the N3 behavior of the perturbative free energy of supersymmetric gauge theory on certain toric Sasaki-Einstein five-manifolds, and the one-loop thermal free energy of N = 4 supersymmetric Yang-Mills theory on a spatial three-sphere. PB American Physical Society SN 1550-7998 YR 2014 FD 2014-01-28 LK https://hdl.handle.net/20.500.14352/33736 UL https://hdl.handle.net/20.500.14352/33736 LA eng NO Comunidad de Madrid NO Ministerio de Ciencia e Innovación (MICINN) NO A. S. Onassis Public Benefit Foundation NO UK Science and Technology Facilities Council NO Leverhulme Trust DS Docta Complutense RD 22 abr 2025