## Abstract

We consider the deformations of "monomial solutions" to the Generalized Kontsevich Model [1, 2] and establish the relation between the flows generated by these deformations with those of N=2 Landau-Ginzburg topological theories. We prove that the partition function of a generic Generalized Kontsevich Model can be presented as a product of some "quasiclassical" factor and non-deformed partition function which depends only on the sum of Miwa transformed and flat times. This result is important for the restoration of explicit p-q symmetry in the interpolation pattern between all the (p,q)-minimal string models with c<1 and for revealing its integrable structure in p-direction, determined by deformations of the potential. It also implies the way in which supersymmetric Landau-Ginzburg models are embedded into the general context of GKM. From the point of view of integrable theory these deformations present a particular case of what is called equivalent hierarchies.

Original language | English |
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Pages (from-to) | 571-582 |

Number of pages | 12 |

Journal | Theoretical and Mathematical Physics |

Volume | 95 |

Issue number | 2 |

DOIs | |

Publication status | Published - May 1993 |

Externally published | Yes |