Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global KdV Flows and Stable 2D Quantum Gravity   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.

12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph