Iterative solution of the supereigenvalue model Original Research Article

An integral form of the discrete superloop equations for the supereigenvalue model of Alvarez-Gaumé, Itoyama, Mañes and Zadra is given. By a change of variables from coupling constants to moments we find a compact form of the planar solution for general potentials. In this framework an iterative scheme for the calculation of higher genera contributions to the free energy and the multi-loop correlators is developed. We present explicit results for genus one.