%0 Journal Article
%T Kadomtsev-Petviashvili Hierarchy and Generalized Kontsevich Model
%A S. Kharchev
%J Physics
%D 1998
%I arXiv
%X The review is devoted to the integrable properties of the Generalized Kontsevich Model which is supposed to be an universal matrix model to describe the conformal field theories with $c<1$. It is shown that the deformations of the "monomial" phase to "polynomial" one have the natural interpretation in context of so-called equivalent hierarchies. The dynamical transition between equivalent integrable systems is exactly along the flows of the dispersionless Kadomtsev-Petviashvili hierarchy; the coefficients of the potential are shown to be directly related with the flat (quasiclassical) times arising in N=2 Landau-Ginzburg topological model. The Virasoro constraint for solution with an arbitrary potential is shown to be a standard $\L_{-p}$-constraint of the (equivalent) $p$-reduced hierarchy with the times additively corrected by the flat coordinates.
%U http://arxiv.org/abs/hep-th/9810091v1