Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1992-05-16
Phys.Lett.B291:11-18,1992
Physics
High Energy Physics
High Energy Physics - Theory
11pp, 6 figs (not included, available by mail from authors), plain TEX
Scientific paper
10.1016/0370-2693(92)90112-H
The string equation for the $[{\tilde P},Q]=Q$ formulation of non--perturbatively stable 2D quantum gravity coupled to the $(2m-1,2)$ models is studied. Global KdV flows between the appropriate solutions are considered as deformations of two compatible linear problems. It is demonstrated that the necessary conditions for such flows to exist are satisfied. A numerical study reveals such flows between the pole--free solutions of pure gravity ($m=2$), the Lee--Yang edge model ($m=3$) and topological gravity ($m=1$). We conjecture that this is the case for all of the $m$--critical models. As the $m=1$ solution is unique these global flows define a {\sl unique} solution for each $m$--critical model.
Johnson Clifford V.
Morris Tim R.
Wätterstam Anders
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