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The density of states of Yang-Mills integrals in the supersymmetric case ischaracterized by power-law tails whose decay is independent of N, the rank ofthe gauge group. It is believed that this has no counterpart in matrix models,but we construct a matrix model that exactly exhibits this property. Inaddition, we show that the eigenfunctions employed to construct the matrixmodel are invariant under the collinear subgroup of conformal transformations,SL(2,R). We also show that the matrix model itself is invariant under afractional linear transformation. The wave functions of the model appear in thetrigonometric Rosen-Morse potential and in free relativistic motion on AdSspace.

SL(2,R) matrix model and supersymmetric Yang-Mills integrals