1998/10/13 by S. Kharchev, Kharchev, S.
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Analysis and Transform Methods #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9810091
LaTeX, 46 pp
arxiv created 1998/10/13 · openalex publication_date 1998/10/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 Ł-p-constraint of the (equivalent) p-reduced hierarchy with the times additively corrected by the flat coordinates.