Large N Chern Simons with matter at finite density and Fermi liquids

In this talk I will describe the large N limit of the Chern Simons theory coupled to a fundamental matter at finite chemical potential. This theory is exactly solvable, in the sense that one can calculate the large N effective action and correlation functions. This allows for a systematic comparison of the observables with the predictions of the low energy effective Landau Fermi liquid theory. Specifically I will describe how to calculate the Landau parameters, which describe the strength of a quasiparticle interaction. More exotic feature of the model is revealed in the regime of strong coupling, which is known to be dual to a free bosonic theory. I will demonstrate how this three dimensional bosonization duality is manifested in the thermodynamic properties of the theory.

This is based on the paper (http://arxiv.org/pdf/1511.04772.pdf) we wrote recently with Mike Geracie and Dam Son.