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A class of matrix models which arises as partition function in U(N)Chern-Simons matter theories on three sphere is investigated. Employing thestandard technique of the 1/N expansion we solve the system beyond the planarlimit. In particular we study a case where the matrix model potential has 1/Ncorrection and give a general solution thereof up to the order of 1/N^2. Weconfirm that the general solution correctly reproduces the past exact result ofthe free energy up to the order in the case of pure Chern-Simons theory. Wealso apply to the matrix model of N=2 Chern-Simons theory with arbitrarynumbers of fundamental chiral multiplets and anti-fundamental ones, which doesnot admit the Fermi gas analysis in general.

Matrix Model of Chern-Simons Matter Theories Beyond The Spherical Limit