ABJM Theory as a Fermi Gas

          @misc{ scivideos_PIRSA:11110068,
            doi = {10.48660/11110068},
            url = {https://pirsa.org/11110068},
            author = {Putrov, Pavel},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {ABJM Theory as a Fermi Gas},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2011},
            month = {nov},
            note = {PIRSA:11110068 see, \url{https://scivideos.org/index.php/pirsa/11110068}}
          }
          

Abstract

The partition function on the three-sphere of many supersymmetric Chern-Simons-matter theories reduces, by localization, to a matrix model. In this talk I will describe a new method to study these models in the M-theory limit, but at all orders in the 1/N expansion. The method is based on reformulating the matrix model as the partition function of a Fermi gas. This new approach leads to a completely elementary derivation of the N^{3/2} behavior for ABJM theory and other quiver Chern-Simons-matter theories. In addition, the full series of 1/N corrections to the original matrix integral can be simply determined by a next-to-leading calculation in the semiclassical expansion of the quantum gas.