A systematic study on matrix models for Chern-Simons-matter theories

We investigate the planar solution of matrix models derived from various Chem-Simons-matter theories compatible with the planar limit. The saddle-point equations for most of such theories can be solved in a systematic way. A relation to Fuchsian systems play an important role in obtaining the planar resolvents. For those theories, the eigenvalue distribution is found to be confined in a bounded region even when the 't Hooft couplings become large. As a result, the vevs of Wilson loops are bounded in the large 't Hooft coupling limit. This implies that many of Chem-Simons-matter theories have quite different properties from ABJM theory. If the gauge group is of the form U(N-1)k(1) x U(N-2)(k2), then the resolvents can be obtained in a more explicit form than in the general cases. (C) 2013 Elsevier B.V. All rights reserved.