Abstract
The Penner-like model of real symmetric matrices with logarithmic potential is solved. We suggest that the double-scaling limit free energy of this model can be interpreted as a generating function for virtual Euler characteristics of moduli space of non-orientable surfaces. The asymptotic expansion in the double-scaling limit is found to coincide with the R=1/4 Gross–Klebanov c=1 model. We also found some amusing correspondences between this model and exactly solvable six-vertex model on square lattice.
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