The Supereigenvalue Model in the Double-Scaling Limit

Abstract

The double-scaling limit of the supereigenvalue model is performed in the moment description. This description proves extremely useful for the identification of the multi-critical points in the space of bosonic and fermionic coupling constants. An iterative procedure for the calculation of higher-genus contributions to the free energy and to the multi-loop correlators in the double-scaling limit is developed. We present the general structure of these quantities at genus g and give explicit results up to and including genus two.

19 pages, LaTeX

References in corpus (5)

• Matrix Model Calculations beyond the Spherical Limit
• Nonperturbative Solution of the Super-Virasoro Constraints
• On a New Supersymmetric KdV Hierarchy in $2-d$ Quantum Supergravity
• From 1-matrix model to Kontsevich model
• Non-critical superstrings: a comparison between continuum and discrete approaches

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• $\mathcal{N}=1$ Super Topological Recursion
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