Kadomtsev-Petviashvili Hierarchy and Generalized Kontsevich Model
| dc.creator | Kharchev, S. | |
| dc.date | 1998-10-13 | |
| dc.date.accessioned | 2026-07-07T04:25:21Z | |
| dc.date.available | 2026-07-07T04:25:21Z | |
| dc.description | 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. | |
| dc.description | LaTeX, 46 pp | |
| dc.identifier | https://arxiv.org/abs/hep-th/9810091 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9810091 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/55719 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Kadomtsev-Petviashvili Hierarchy and Generalized Kontsevich Model | |
| dc.type | text |