Iterative Solution of the Supereigenvalue Model

Abstract

An integral form of the discrete superloop equations for the supereigenvalue model of Alvarez-Gaume, Itoyama, Manes 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.

21 pages, LaTeX, no figures

References in corpus (4)

• 2D Gravity and Random Matrices
• Matrix Model Calculations beyond the Spherical Limit
• Nonperturbative Solution of the Super-Virasoro Constraints
• Non-critical superstrings: a comparison between continuum and discrete approaches

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