Flows for rectangular matrix models

Details Flows for rectangular matrix models Flows for rectangular matrix models

1993-08-24

arxiv.org/abs/hep-th/9308113v1

Mod.Phys.Lett.A9:101-113,1994

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, LaTeX, McGill/93-21

Scientific paper

10.1142/S0217732394000113

Several new results on the multicritical behavior of rectangular matrix models are presented. We calculate the free energy in the saddle point approximation, and show that at the triple-scaling point, the result is the same as that derived from the recursion formulae. In the triple-scaling limit, we obtain the string equation and a flow equation for arbitrary multicritical points. Parametric solutions are also examined for the limit of almost-square matrix models. This limit is shown to provide an explicit matrix model realization of the scaling equations proposed to describe open-closed string theory.

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